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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}

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

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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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}

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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**    *    ****  * **  *    * ** *   **  *     * * 
**** * *** *   *    * 
    
*  **   *    *  *   * *** * *  * *   * *** *****  *****
* *  **   ***   ***  * ******  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);
 **  *  *  **** *****  ***  * **  *** * *  *** * *** *
 *  *****  *    *     ***    *    *****  *** **   ******   ***    * *
*  ***    * ** ** *    * **  **** ****  ****  ** ***
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* *****  * *  **   *  * * * ** **** ***  *  ******  *** *   *** *  *     ****** (-b-spD)/(2*a);
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*  **  *  ***   * **** * *  ** ** **  ** **   * ** ****     
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*   ** *  ******* **    *** *  * 
    
*** *  *  * ** * ***  *   *** ** ****      *
       **  ** *  ***   *     * 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){
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   ** *****  * *  ***  *** ***** ***    ****** * **  *
 * *  ** ******* *   *** ****  **** * * *** ***** *  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