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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    {
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*  ***  *   ** **  *  ***   ** * **    **** ***  ***    
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* ****  * **    *  *   ** *  **** * * **    **   **  * **    ****  **   (x1==x2){
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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)
    {
**  *** ***      **** ****** *  **  **  *** * *** **  *  * - (4*a*c);
*  * **  ****   ***  ** * ** *  ***** * **   *    **  
  * *****   ****  * * ** **  ***   ****** *    **   * *  ******
* * *** *  ** **** *  ***  *      ** * **  *   *** 
 * ** ******* *   ***      ** * *** *** * * * *   **  * * ** *   *    *** ****  ***  **  *  *
  **  ** * **  * **  *    *    **** *   *      *     ** **  **  ****  ** *  ***  (-b+spD)/(2*a);
 **  * * * *   ** ** ** ***    ** *     *  *  ***   ** * *  * **   ** **  ** *     *  * (-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