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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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)
{
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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