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

Hidden content!
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int main(void)
{
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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

Hidden content!
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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 4

Hidden content!
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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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* ** ****  **  **    * * *  *     **** ** **    ****  * *    
* * * * * **  ***      *  ** **   **   ***    ***  * * ****      **  **    * *    (-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);
 *** * * *     *** **** *** *  *** ***** * *   *  ****    *
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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)
{
** ***    ***  *   *  * *  ** 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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* **   * *****      **** *   **   * ***    * *****  * *  *** *  ** *   ****  **  * (-b+spD)/(2*a);
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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