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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{
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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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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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** *    *   ** *       **  ****   **** **    **
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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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  ** **      ********   *  * **  * ***    * ****  * * * 
* ** *  *  *  **** *****  **   *     * * *   * *** **         ***
**  **** * * ***  ***  ****   * ***    *   *  * * **  * ***
*** *  * * ** ** *  **   * ** * * * ** *** *   *  * ***    * ** * ** * *** * * ** *******  * 
* ********  *     **   ***   * ***    ***   *  * ***   **   ********** **    (-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