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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}

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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}

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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}

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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       *******   ** *  ** *** **             *    
*   *   **  **   *    ***   *   ** * ********    **     *  ** *  **** ** ***    * (-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