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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 *  *  **  ** *   *  * * * *   *     ** ** *** **  * *   **  *** *****  *
  *      **  * *** ** **  ** **** *  **  **   *   
 ** ** *    *  ******   * *   *****   **    ** *  ***   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