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