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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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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 ***      * *** *  **  **  * ** = -b/(2*a);
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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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}

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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   * ** ****  **  * * ******    ***   **    * ****      *  ***    
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     * **  ** * ** ***  ******  * * * * *** *  * *** **  * * **    *   * *** 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)
{
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**   *  ** ** ** ** * ** ** *  ***** **  %lf %lf", &a, &b ,&c)==3)
    {
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*  *  *  ** *** *** * ***  *   *   *     * *   **
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**  **  *  *** **   ** *  * * **  ** * * * ** 
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 *    *** *   *  *  ****      *  **     *** *   **   * **   * ***  ***  * *  **   * -x1;
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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);
*** *  **     ** **   * **   *   *  * *  * ** * * * *   
** * *  **   ****  ****** * **** ** *** ** *  *   * *    *** * 
* **  * ** * **  **  *** *  *  * *  **   *  ****** ****    
** ***********   * ** * * *  ****     **     ****  * *** ***  *** ***  **   ** *     *****  *** 
 **    ** ***  * *** *  * ** ****  **   **  ***   ***    *** * *   **  *  *      (-b+spD)/(2*a);
 **  * *  **** * *  ** *   *** ** * ***    * *  **      ***   *** **    * *   ** (-b-spD)/(2*a);
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**  *** **  *** *      **** *** ** * ** ***  * *** *  *** *** **  *  * *   *  **  {
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***    ** ** *   * * ** *  ** ** *    ** * *  ** **  ** * *** 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;
}

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