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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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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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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*  ***  **  **     ***** *   * ** *   **  * ****    **
* ** ****     * *****  *   
    
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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)
    {
 *** * *  *  ** * * ** *     **      **  * - (4*a*c);
 *****   ** *    **    **  * ** *****    *** ****** *** *  *
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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