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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{
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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)/(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