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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{
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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

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

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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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***   **    *** **  ** **  ** ** ** ** *     **   *  **   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: 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)
    {
** *  ** ****  **  *  *     **  **   ***   * * * **  ****  - (4*a*c);
   ***      *****  *   * *   * *  ** * * **  * **  **
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*** **   *** ** *  ***    *  *** * * * *** ***  ***** * *  *  *** * **  *** * *  (-b+spD)/(2*a);
 * **  **   ** *  ***  * ******   * *****    ** *  ** **** *****  ** * * * *  ** (-b-spD)/(2*a);
**     ***  *****  * *  * *** *   * * ** ****    ** * ** **** *  ** **** * * *  * *  (x1==x2){
**** *** **    ** * ****  ** *  * ******    ***  **   *  ** **  *    * ****     *  ***** *  *  ***  ******        ****   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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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){
* ******  * ** *   **  ***  * ** * *  * ***     *** *     * ** *  *** ****    * ** *   * ******     ** * ***  *     *** *    * ** **  * 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 different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,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