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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{
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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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**    * * *  *    *****    *  * *  *** *  *  *   ****  *    
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* *   **** ****  * *****  **** * * * **  * * *  * * * *  *  * * * * **** *  * ** ** *   **   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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***** * ****  *   ** **    * 
    
     *           *** *** ** ** *** **   **   *
** ** *** ** **  *  ** *   *** * 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)
    {
* **   **** *** **** *  *    ** * *  ***  *           * * **  - (4*a*c);
**  *** ** ****** **  **   *     ****  *****   
****  **  *   ** ***  **  * *  *   *        *** ***       **  *
**  *   **  * *** * *****   ** ** *   * * **   ****
* * *     * ** ** **** ** **   ****  ****** **      *  ** ** * *  ****** **   **  **
***  * *   **  * ** * * ** *       ****  **   *  *** * * * *     *    ****  *  *  (-b+spD)/(2*a);
****  ** **   **   ** *  *   **  **   * ** * *  ** ****  * * **    ** **  * (-b-spD)/(2*a);
 * *  * *** **   * *  *   *  ***   *   **   *****  ******   *  * **     * (x1==x2){
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   * ** **  * **** * *****    * * * *****  *  **  ** ***
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**  ** *****   ***  * *  ** ** *  * * *  *  ***   *   * *
      * *   * * ** *** *    *  *  ** *** *****   * * ****       *  *** * * **     * (-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