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

Hidden content!
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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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}

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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}

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