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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}

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