Question

Solve the equation x=√(2x-4)+2. Show, explain, and check your work.

Answer 1

x = 2, 4

Explanation:

Hi there!

x=√(2x-4)+2

Move 2 to the left:

x-2 = √(2x-4)

Square both sides:

x²-4x+4 = 2x-4

Combine like terms:

x²-6x+8 = 0

Factor:

(x-2)(x-4) = 0

Therefore, x = 2, 4.

I hope this helps!