X-4x^1/2+2=0

Question

Find the real solutions of each equation. Use a calculation to express any solutions rounded to 2 decimal places. 

Answer 1

Let u = x^(1/2).

u^2 - 4u + 2 = 0

Completing the square gives,

(u-2)^2 = 2

u = 2+/-sqrt(2)

x = [2+/-sqrt(2)]^2

Answer: x = .34, 11.66