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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{
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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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{

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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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*  **** ** * ****   ****  * * * *  *   *  * ***    ** *   **   **    *  * ** **  **  ** *   * **  * *  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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}

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)
    {
* *****   ***** *  *  **  *  ***** ***   *     ***** *    **   - (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