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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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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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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* * ***   *   **    **  * * **       **  ** **  * *** * ** **  ** *    *******  -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)
{
***      **   * * **** * * *   * a, b, c, D, spD, x1, x2;
    
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    {
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 * ** *        *** ***  *   ** ** * **   ****** ****** *   
*  ** *  *   ***** * ***** *  ** *  **  * *** *  *****  
******    **       **   **   *  ***  *  * *   **  * ** *  *** ***    *   *  ** * *     ** 
* * **  **    *  *  *  *  *    *   ***  *** * **  * ****  ** *  *** * **  *  *   *     (-b+spD)/(2*a);
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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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  *****  * * ****  **     * ****  ** **** ***   *** * 
  *     ***  * ****  **  *** *    * ** *  ***** **  * ** * 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