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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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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}

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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}

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)
{
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}

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