10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

Hidden content!
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int main()
{
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}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

Hidden content!
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int main(void)
{
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* *   *** ** * ** *** * ** * (D < 0)
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}

Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

Hidden content!
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#   *  * ***  ***  * 
int main()
{

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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#  **   * ******* 
int main()
{

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** *** * **   *  ***   **  **  ** 0;

}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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***  * ** **  **  *  * *   *    **  * *     ** %lf %lf", &a, &b ,&c)==3)
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 ******* *     *  * **  * ** ** * *  ** **   ** **   * ** **  ***   * 
** *  ***    *   ** *  ** * *** ** ** **  **  **  * * * 
 * * *    ***   ** *** ** **** *  **  **   *    if(D<0)
  ** **    ** *      ***  *   **   * * *   **   * **   ***    
* **  ** *** **** *     ** *   ******* * ** *    *  **  *   ** **  ***  ** * * *  * ** (-b)/(2*a);
*    *  ***  *** *  * *  *  ** *  *  ********    * *** ** * ** ***    *   * *     ** -x1;
 **       *  * *  *** * ****    *   *  * * ** *** * *** *** **  *** * *    * ****   *  * * *  *      of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
  *  *      ** * * ** *    ** **   ***** *  **** 
     *       *  * *  *  * ** **
    
 * ****   ***   *       *  **  *   ***  * *******  
     *** ** * * *   **    **** 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
***  ** *   *     **    ******  a, b, c, D, spD, x1, x2;
    
 *** ** *    ***** * **   * ***  **** * %lf %lf", &a, &b ,&c)==3)
    {
* *  *     **     ***  **** *  * *** ** **   ***   *** * ***   * - (4*a*c);
    * ***       **  ****  ** **  *  ** **** **  ***  *
 * *** * ****     *  **  **       ** *****  *  * ** *  ***     *
*  **     *   **** ****  **   *   **    **  * ****** 
 * * ***  ***  *    ***    *** *  * *  *  *        *** ***  *****  ***  **  **** **  ** *
 * *  *  **** ***  * ***  *** *****     *  ****   *  *  **  **** * * * ** (-b+spD)/(2*a);
** * *       *  ***        ** * * *** * * * ** ** ***  * *****     ** * ***  *** **** (-b-spD)/(2*a);
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* **  ****  **     *  * **  *  * *** ** ****** ** **  *    * * **     ** *** *    *** *   *****   *   ** *** * **** **  ** ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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* *  *    *   *****   *   *   * * ***** *   *** *  * ****** ** * *   * ***    **  ***  ** {
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* * **  *  **** * ******* * *** *      *  *** 
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* **  * ** ***  ** **  *  *  ******  *      *  *  *****  *  ***   ** **** ** * **     
*    * *  * **  *  * ***  ***      ** ** **** * * *** *
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   **   * * * * * * *   ***  * **   *  *   * *  *  **    
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*  * *  *** ******  * *** *  ** * *  **  *** **** ******       ** *** ** ** *    * -x1;
  ********         *  **  * **  **   **  *** **    * ** *********  *  *  *** *    ***  * ***  *** of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
 ** *******   *** *** ***   *** * *** *  ***   **** ** ** * * 
***    *         ***     ****  
    
**  *  *   ** ***        *   *  ** *  ***  * *
* * ***    * **  ** ***** * * 0;
}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
 * ** *   ****  ****    * *   * a, b, c, D, spD, x1, x2;
    
* * ** * *    *     *       **  *   * * *  %lf %lf", &a, &b ,&c)==3)
    {
 **   *  *     ***** *  *  *** * **** *    *** *  * * - (4*a*c);
** ** **    * *******  * * **  ****  * *   **   
 ** *** * *  * * *    *   **  * * **** * * *    * * *  * *  * 
       ****  ** *   ******* **** *  **   * *
 *   ***  ** **    ********  * * *   * ** ***** * **      *  *** ** *  * ** ** *  ***** * * *
**     **   ** *    * * * * ** * * ******** ** ******  * ** ***    ***  *     *      * (-b+spD)/(2*a);
      *    ** ***** *   *   ****    **** ***** *  * * **   **  * **** *   * **** (-b-spD)/(2*a);
 ***    ** * *  * ****  ** ** ** * * **  ** ** **  *    * *  **    ** *    ***     (x1==x2){
 *** ****  *****   * * ******* ******* ** * * **  * **  ** ****   * *   ** **** **        ***  *** ******* * *  *  ***    ** * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
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** ***  * * ****     *  *****    ** ** *  **    *  **    *  *** *           *  {
   *** **** ** ****    *  *  ** **   * **  ***  ****       * *   *    * *  **  * *    ** *    * ***  *  *******     *  *** **** * ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
   ** *   ** *  *  * *   ** ****   **    ** *    ******    **   *  * * *      
** **  *  * ***  * **    ******** *  *** ******  **
** * *** *  * * * ** *** * ** ** *   * *** ** ******* *  * * * if(D==0)
**  ** *  *    * **** *   * ***  ** ****  ***   *  
**  *   * * * * ****  * **  ****   ** * **  * *  **** ** **      ** **  *       * **  (-b)/(2*a);
 * * ** ****  ***  *   **   ** **  *  *     * *  *    ***   ** * * * *   *** **  * * *** **
    * * ************* * *****  ******** *  **** **  * **** * * **  *  *     *  
*    * * * * *** *        *   *    *  ****  ** **      * * *** *  *** ***** * * *    ***   **   * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
  **  *   ***   *  *** *     *  *****  **  **  *** *  * *** *    **  ***  * * **    
*   * *    * *  *   * ** **   * *    *  **  *** *  ***   * * **     **  * * * ****
      *** * ****  *   ***   *   **** **  ** ** ** *  ****   * *  * * * *    ***
 *     **    ****** **** * *** *  **  *   *  * **  ***   ***  **** * *  * ***
* *     **  ******** ***  ***** *  *   *  *  *** * ***  **  ** *  * * *    * **  * ***** ***   ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
 *   *   *       ***  ***** * * ******       * * **   ******** * *  *  **   ***   *
     ***   **  *     **  * ** *****    ****    * * ****
**  *  *    **      ** * *  * *   * *   *  *   **** ****  ** if(D<0)
    ****   **** ** **  *  **  * * ***  ******  ** ***  *    
 ** **   *** *  * * *  *  * *     ** *** *  * *   * ****   **    *   *    * *   * * *  (-b)/(2*a);
** **   ****  ***   *  *    ** **  *  ** ******  **  ***  *****  ** ***    *****   *  -x1;
* **  *  **  **  *     * ***    **   ** * * *** *     * *    ***   **** *** **  * * * ** * *   *     of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
  *    * *** *   * ***  *  **** *    *  * ** ***   * * ******
******  ***   * **    *
    
**  * *  *  ** **** **  *  * *** * ***  **   **
 ****   *   ** *** *  * *  **   * 0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
** *  * * ** *    * 
 *  **** ***       **  
* *   ** ** ***  *
int  *  *   
*       * *    * **  * **   **  *  a, b, c, D, spD, x1, x2;
**         ** *** *****   
** * ** ** *** *  * ***    ****      * * **    **  ** %lf *    **  *** * &b ***** *** 
  * **   {
  **********   *   *     *   **   ***   *    **    *  *** - (4*a*c);
*  *** * *****     * ** ****    *  * * **** **  ***** 
* * **         ** **   *
   ****       {
 * *** *      *  **  * *   ***   *      *** ** * ****  *    ***  **
***** *     *  ** * * ** * ** **   ** **  *  *  **** * ****   x1=  *   ****
 ***  * *  ****** **  ** *    **  *  *   *  * *  *    *******   ***   x2= ** ***    ** 
  ***** * ***** *   *  * *** ******  *** ** *   * * ***  * *   if (x1==x2){
**** **** **  * *  *** * *  * * * *****   **    ********* **       * **   *****    of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  **** *   **** ** **
* *  *   *** **  ** **** *   * *** * *   * *** *** ****    * * *  *    *   ** ** * * * *   
*    *  *** *******  *  ** * * *** **  *      * * * * *  **  *  *   else {
 *  *  ** *    * *  ** * * * ** *  ***  * * * * *  **  * * *  *   ***  * *** **   *   * *  *        *** *   ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and **  ***  *** = %.2lf\nx2 = ****    *    * *** **  
  * *      **  *  *  * *** **   * *  **  *   ** ****   *** ** *    *  }
  **** *    *      ** *   *  *  *   * ** * * * ***    
    * **  *  *  ** * ** **    ** *  ** *** *  **   * *   * *** ** if(D==0)
***  * *   *  *  *   *    {
  *****    *     *  *    * *** *** * *****  **   *  * *** ****   *       ** * ** ****
 *  *    **    * ****  ***  **  ***** **  *  **   ** *  *       * *   * *******  *** 
***   *         **       {
      * ****   * * *  * *   **    * *     *   ***   *****     * *** * ***     *** * ******       of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = *** *   * ** *** 
* ** * *** *****  **   **    *** *    *      * ******  ** *  *  ** *  *  ********* 
*   ** * * * *    *  * *  *  ****  * *   * **** **  * *   **  * *  * * **   * ****    
 **** * ** * **   *  *  **  **  * ***   **  * ** *****     *   * ****   ******  *****   
** ****           {
 *********** * * **  *  **   *** * ***  * *    ****  *   *   **** ** *****   *    **    **   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = *    ** * ** ** **
** ** *    **  * ****  * *** *    *** * ***  *  * *  * ***   *  *    *** * ***  ** ** **
**   ** * * *  *** **   ** * ** ** * * **  **  **  *
  **   * *** **   * * ** ** **** ***  *   * ** ** * ***   **  **** * ***    *
*** **          **     
            x1=  **  *  
  ***        ****  ***** *    * * * x2= -x1;
**       ** * ** ****** * * ** ***     ***     *** *    * * *  *  *     **   ******  ***********  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and  ***  ** * =  **** ****  * =  * ** **   **  * *   *  ****  * 
***** *** ***** ** * ** *  * *   * ***** *** *   *** ***
*** **** * ***  *  ** * 
  *  ** **   *** *       **
** * **   ***  *** *  ** ** *** **   * ** * * *
    *  ** *   *        ****** * 0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
** *** * ***   **  * *
     * *     *  *    *
int main(){
 * *   *   ****   * * **   ***   a,b,c;
*  *    **   **  * * ** *  ****** *  D;
 *  *** *   * *  * *** * *** *   ** %lf  ** *****   * *** *   ** * *** ** 
 *  * *** * ****   **   *  *  - 4*a*c ;

 * *** *** *   * * * *  ****  *   * ******    of %.2fx^2 + %.2fx + %.2f = 0  *  *** * * 

*   * ** **** * ***  ** **      **  *
* * * * ** *   **** *   *   ***  *   **   *   *  * **   ** * * *  *  ****   complex and *  * *** *  
 * * * *** * *** *  ****     * * ****  * * *** * ** ** *    * **  =  * ** *     *   (-b) / (2*a) ), sqrt(-D) / (2*a) );
** *  *** *    * * * * **       ***  **  *   *  * ** * * * * * **  = *   * *  * ** *   (-b) / (2*a) ), sqrt(-D) / (2*a) );
** * * ***    ****   * *  ** 
 ** *   *    *  * ** ** ******  * if(D==0){
 **   ***  *** * ***** * ** **  *   *  * * ** ***    *** *     ** real and same\n");
   **** **   **** *    ****** *  *  **  ***  *   *    **   = x2 = %.2f",( (-b) / (2*a) ) );
 ** *  **  * **  *  ****  ** *
*** *   * ** **  * **  ** * *** * *  *** * 
  *  ** *  ***  *  *** * ** * *  *   * **  ***  ***   *   ** * * *  real and ***** ** **  *** **  
** *  *   **   *  * * ***    * ** *  * ** *   *** ** *  * ** * = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
       **    * **** *  * ****  * ******    ***  * *  * * * *  ***  = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
 ** ** **** **  *** *  *   

 *** *  ** **  *** *   **** 0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include   * *  **   *
#include <math.h>
int main()
{
**** ** * *  ****  *  ** a,b,c,x,y,d;
     *  *** **   *  *  ***** **  *** %f   *  * *  * * *  * *** *  *** *  
   ***  *   ** * **        ******
*  * **  *  *  **** ** *  *    ***  ***
* * *  *** * *   *  *       ****      **
** ** *****      *  *** * * (d>0){
*   ***  *****   ** *** *** ***  *  * * ** * ***** of %.2fx^2 + %.2fx + %.2f = 0 are real and  **   * *  ** *  **  
         *  *  * ** *   * ** *  ****    = %.2f\nx2 = %.2f",x,y);
*** ** ** ***  ** * **   *****
 *  **    **  ** ** ******* *** if (d==0){
  ** * **  ****  *  ***  *****  * ** *  **    of %.2fx^2 + %.2fx + %.2f = 0 are real and * * **   ** ***  * **
 **  *  * *** ** * *  ***** *    *** = x2 = %.2f",x);
 *  ****   ***       ** **  * *  
** ***** *  ** ** * * *  ***
 *****  *  **     *  *  ** *      *  **
 *   * ****  ****  **  *** ***  ***  *  * of %.2fx^2 + %.2fx + %.2f = 0 are complex and   * *  * *    * ***
***** *   *  *   *  *   * * *** ***  *   ** * 
* *  * * *  * *   *  ** *      *  **   ** =  *  * **** **** * *
      *  ************  * ****      ***    =     ** ** *  ***  * 
*** * ** * *   **     * * *

  *   ** ** * *    * *** *  * 0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output