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Write a program to find roots of a quadratic equation

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.

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. ``````x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)``````

where, D = (b*b-4*a*c) is Discriminant, which differentiate the nature of the roots of quadratic equation. For the complex result:

``````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``````