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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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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}

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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}

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;
    
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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