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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int main()
{
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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)
{
   *  *  * **  ** *** ** *  ** ** 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