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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{
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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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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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}

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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*** ** * * *  ** ****  **** **  ******  *****  ****   %lf %lf", &a, &b ,&c)==3)
    {
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 *  ****       * * ** ** *  *  * *    **    ** *
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 * **** ** *    *   *   *      ******      *    ****  ** *  **** * **     (-b-spD)/(2*a);
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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