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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{
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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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int main()
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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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** **  **   *   *  * * *****   * *** **  * **   **    
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**  **** ******  *     *** * * * *   *  * *    *  *   * * * ** ***    **   ******* * -x1;
*  *  ****** ** **  **       ** * **  * ** * * *  * * ***  **** ***  *  *   * *  ****  **    of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
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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)
    {
****  ** * ***** * *  * *    *   *  **     * **  *  ** - (4*a*c);
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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);
***   *  * **  *       **   *  * **     * **   *
 *      **    **** *   *** *     ** *** *** * ** *  **    ** 
 **     * ** * **     **     *   *  **     *  ** ***  *
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 ** **   **** *    * *  **    *******  * * * ** *** ****** * **** **  * (-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