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

Hidden content!
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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