Question

Roots of the quadratic equation 2x^2-2√2x+1 by the quadratic formula

Answer 1

Question ::::::

Roots of the quadratic equation 2x^2-2√2x+1 by the quadratic formula

To Find ::::::

Roots of the equation

Solution ::::::

Applying quadratic formula to solve this question

a = 2 b = -2√2 c = 1

D = b²-4ac

D = (-2√2)² - 4×2×1

D = 8 - 8 = 0

x = -b±√D/2a

x = -(-2√2)±√0/2×2

x = 2√2 + 0/4 , 2√2 - 0/4

x = √2/2, √2/2

This equation has equal roots i.e √2/2