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

Hidden content!
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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

Hidden content!
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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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}

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)
{
****** ***   * *  * *  ***  a, b, c, D, spD, x1, x2;
    
**  *** ** ***   ** * *  *     *  *    ***    * %lf %lf", &a, &b ,&c)==3)
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*   * * ** ***  ** ****  *  *  ** 0;
}

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