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

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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

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{
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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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}

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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* *  **    ***     ** ** * ** * **  * ** ***     * ** *  *        
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**  **  *  ***  **    *    * ***** **  *   **  **  *   *  ** * *  ** **  *** *  *** ** * * **   ** * **** *   of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
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*   *   ***     *  * *  * * 
    
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}

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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* ***   * ***  * ***     *    **  *  * **  **     * * ** **    
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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);
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* *   * *   **      ******** *  **** ******         *****   *** * **  * * *  *** 
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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