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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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;
    
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    {
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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