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

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

int main(void)
{
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** ***** * * * *** * ** *  ****   * * *  ** *     *  * ** *  *  **      * * * * *** (-b-spD)/(2*a);
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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)
0 like 0 dislike 
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;
}
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)
0 0
-----------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
-----------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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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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