Discriminant Roots of Quadratic Equation

Topic : Quadratic Equation

Question : Explain the Discriminant of a Quadratic Equation

Solution :
Let us consider general quadratic equation ax² ± bx ± c = 0
Discriminant d is given by
d = b² -4ac
a) If d is greater than or equal to 0 , then we have two unequal and real roots.
x1 = (-b + √d)/2a
and x2 = (-b - √d)/2a
b) If d = 0 then we have two real and equal roots.
x1 = x2 = -b/2a
c) if d less than 0 we will be having two unequal and imaginary roots.
x1 = (-b + (√d) i)/2a
and x2 = (-b - (√d) i)/2a