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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{
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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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}

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