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

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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
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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
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56 Answers

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#include <stdio.h>
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#include <stdio.h>
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#include <stdio.h>
#include <stdlib.h>

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
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}
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>

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}
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#include   * *   * *   * 
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int main(void)
{
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
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Case 1: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Case 1: Correct output
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Hidden content!
#include    ** ****** * 
#include ** *****   

int main()
{
 * *        *  ****   * ***  * a, b, c,  ****** x1,x2, realPart, * **  *  


 * *    * *    * *** *        ***** ** %lf * * ** *    ****  &b, &c);


** **** *  *  *   * ** * *   **      = b*b-4*a*c;

***   ****   *     **     ** * *** condition for real and different roots


 ** *** *   ** **  ****** ***  * *  for real and equal roots
 ** **** ** *  *** * ***  *****   *   * (determinant == 0)
  * * * **  *** * **    *  * * 
 *****    *   ** ***  *    ***** *** ** *  ** *  ***  *  * * = x2 = -b/(2*a);
 *****  *    * * ***  **  * **   ** *** **  *** ** ** *  ** *  *    of %.2fx^2 + %.2fx + %.2f = 0 are real and *  ** *  *** * a,b,c);
 *  ** *   * * *  *  ** *****  ***  ****  **    ******* *  = x2 =     *  * * x1);
*** **** ***  * * ** *   *   

   ** * * ***** *    **   * * ** * if (determinant > 0)
 ***    *   **   ********
*      *    *** ** ** *  ***  sqrt() function returns square root
 *** *     * *  * * *  * *  ** ***   *  **  * *** * *   ** * = *  * *  **** * 
  * *** *   **      * * *         ** ** * *    *   *** =  **      ** *******

***     ****   ** **  **    ***   **   **      ***  ** *  *** * * of %.2fx^2 + %.2fx + %.2f = 0 are real and * ****   *****  
* *    ** *  **** **   * *          * **   ** ** ** *  ** *  **  ** * ***  = *  *    **   * x1);
*** *****  *  *   **** **   ** **  *   **   ** ** *    * ***     * ** = *  *****   ** x2);
   *  *  ** ** **** ** *  if roots are not real
 *   **  ** ****  *    * ** *   
 *  *     **** *   *** * ** *  * 
  *   *  ****** ** *****        * ******* **  *******  * *    * * = -b/(2*a);
      * *  * ******* *******  ** *  **  ***  * ** ***   ****   = *  *  *    *  *
 * *    *        * *** **   **** **  * ***  *  ** **  ****   ** *   *  of %.2fx^2 + %.2fx + %.2f = 0 are complex and  **       * a,b,c);
   *   *  * * **  *    *  **   ********  *  ** * *  * *** *    **   = * * * *** *  ***   realPart, ** * ** *
* *  * *  *      **  * *    * ** ** * * *  *** *  *** * **** ** ***  * * * ** =   * **  * *     realPart,     ****  *
   *  ***  **  *   **** *****  

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