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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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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}

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