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
[Exercise] Coding (C) - asked in Chapter 5: Selection Statements by (5.2k points)
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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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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'
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Hidden content!
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Hidden content!
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}
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}
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Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}
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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'
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
 * * * *  **  *   *    *  *    a, b, c, D, spD, x1, x2;
    
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 ***    *    * * *    *****  ** * ** *  ***      *     *** ****  ***** ******       ******  *** **            *   ** *  *** **** ** * 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 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;
}
answered by (-249 points)
0 0
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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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)
*** * ***     *     * **     {
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*   * **** **  * *** * *  **     ** *   ***    ** * *   * ** *  *  *** ** ** * ** *  **   **
** *  *    * **       {
*** * *   *   ** *  * *      ***   * *  *  ***   *  * ** * **    *  * * * *** * *** *** * *  **** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =   ***  * **** * **  
*** ***    * * * ** * ** ** *  ***  ** ** *  ** *   ***** ** * **  * **  **** ** ***   * *
**   * *  * *     *  *   ** * ** * ***    **      ***  ***  ** *** **  *     ** ****  * 
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 *  **            {
 ** * **** * *  **** ***** *** * *** * **  **  ***** ** * * *    * * *   *  ***  ****** *      *    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;
}
answered by (-249 points)
0 0
/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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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;
}
answered by (-116 points)
0 0
/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
commented by (4.3k points)
0 0
/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
commented by (4.3k points)
0 0
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Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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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;
}
answered by (54 points)
1 0
/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
commented by (4.3k points)
0 0
/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
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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