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

Hidden content!
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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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* *   * **  *  *  * *
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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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}

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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}

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)
{
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   * * *  **     * **** **   **  *  * ** *  * %lf %lf", &a, &b ,&c)==3)
    {
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    *   * *  * ** **** ***  * ** ****** **  ****     * 
*** **  * ***  * *** ** ***        ****  * ** *  *** *  *  *** **  *  *   ** * * * * **  ** **  
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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