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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}

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;
    
** *  *  * *  ** * ******* ***    * ***    ** * * %lf %lf", &a, &b ,&c)==3)
    {
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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