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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}

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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}

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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}

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);
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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