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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int main(void)
{
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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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{

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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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  * **  * **   **  * ** ** *   * *   *   ***  * *  
 *** **   ****     * ****  ** **  **
    
****  * * *   * *** *   *  *** ***  *****    
****        **      *   * **    * * 0;
}

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)
{
*  *  ***  ****  **   **  *   a, b, c, D, spD, x1, x2;
    
***  * *  ***   *  **  *    * *** ***    **  %lf %lf", &a, &b ,&c)==3)
    {
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* * *   ***** * * * ** **** ** *  *** ** *  ** *** *****
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* *** ****    ******* *** * *   ** ***   **  *  *
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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);
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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