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

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

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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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***  *  ***    *******  **   *    ** * * * ** ** **  *** **  ****    *** *     -x1;
***  ** ** **  ***     **   * * *  ****  * ** ***** **** ***  *  **  ***     **  * * * *** *** *  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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}

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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}

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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 *** *   *  ******   **   * ***    ****** ** ** ****   *
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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