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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}

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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* ** * **   *  * ** ** *******   * * *  * * *  **    
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 * *    *  *      *    **** * * ** *    *  **    **   
* ****   *   * * ***  ***** 
    
***    ***  * *  * **       * * *   * **  *  * ***
**** ** * * *  *  *** * *  *** *     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;
    
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    {
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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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****    ****   *      **  * **  * *** * **** * ** *  
*  ** *  **   *  *   *****  ***   **  *  *  *     **    *  * * * *
****  ** *   ** * ******** ** *      **  * *  * *   ***
  * *****  * **   **  *     **   ** * * ****  * * *           **** *  * *  ** **     *** *** *   
 **  * * **  *****  ** *    ** * *     * * ***** * *****  **  *    ***** *    *       (-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