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

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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)
{
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*****  **    * * *    ****** *** *** * ** %lf %lf", &a, &b ,&c)==3)
    {
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***   *  **** * * *** ********** * ***** **  * *  **      **
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*     *  ** **   ***  **  * *  ** ** ** *   *****
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***  ** **   *** * *  * * *  * **  ******* * * *   ***  ** * *  ****   ***   **** ** ** *  ** * * ***  *   **** ***    ** ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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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);
* **  ** * ** *   ** * ****  **** *  **** * ***  **   ** *        *  *** **   * (-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