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

Hidden content!
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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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int main(void)
{
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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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{

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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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***  *** **     **  * *** *** *  0;

}

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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****  * **** ** **  *  *  *  * *      **  **  **     ** ** *  * **  * *  * **      -x1;
*   * *    **    * * *   * *   ** **      *  **  *     ** * *****   ** **** ** *  * ** * * * 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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}

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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* *** * **  *  *      ** *  **   
    
****    *  * * * *  * **  ** ***  **  ** * ****
*  *  * * ***  ****  **  *    * 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);
****  ***  * ****   **** *  *   **** ***** **      **
**         *** * ****   ***** *  *         *** *   * *  **
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***   * * *** *   *** ** *****     *   *  **  ***  **  * * **   ** **   *  *   ***** * *** 
* ****   ****** ****  ** **  ***     ***** ** **  *  ***    * ***  *** * ***  (-b+spD)/(2*a);
  *  *  ****     ** * * * ***  *   ** ** * *****   *  ** *** ** *  ******  ** ** * ** * (-b-spD)/(2*a);
 *        *  *** ***    *    *  ** ***  ** ** ***  **** * **  * *  ****       **  * **   (x1==x2){
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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