solve the following equation by completing the square

Question

x(square) - 4(square root 5)x =6 = 0

Then x= or x=

Answer 1

x^2 - 4√5 x + 6 = 0
x^2 - 4√5 x + (2√5)^2 + 6 - (2√5)^2 = 0
(x - 2√5)^2 = 14
x - 2√5 = ±√14
x = 2√5 ± √14