Question

Find the roots of the equation x² – 6x + 4 = 0 if they exist, by applying the quadratic formula.

Answer 1

Compare given equation with the general form of quadratic equation, which is ax² + bx + c = 0

a = 1, b = -6, c = 4

Find Discriminant:

D = b² – 4ac

= (-6)² – 4.1.4

= 36 – 16

= 20 > 0

Roots of equation are real.

Find the Roots:

x = 3 + √5 or x = 3 – √5