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

Hidden content!
**  *  **  *   **   * 
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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int main()
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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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  ****  ** ** ** *    *      *      *    * *****  ** *** ***     ***  ****  **   * * * * * *** 
**  ** **  ** * * * *****       **      *  * **** **  *   * * 
** ** **   ** * *****     *  *  *    * **   *  ******       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: 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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   ******* *    *** ****  ***  **     ****** * **   * 
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******  *   *** ** * *** *  ** *      ***    * ***  ** * * *    
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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);
 *     *    * ***  *** * **  * *** **   *   * * *    * **** * **** * ** **  * (x1==x2){
 * **** *  * * * * **   **  ***  **** *** * **** * * ***  ******     * *  **   *  * ***     *   ****** * ********  ** ***   * *** * **  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
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* *  ** *  **  ******  * **  **   *  * ***** *  * **  **   ** *  * ****  *  ****  ** *** {
    **    **  * *****  *   *** ** *  **  * ***** ** * ********** *  ** * *    ****  * *    ***** *      *** **  ** **** ***      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;
}

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