Solve the equation x Squareroot 8 2x 0 Select the correct

Solve the equation. x - Squareroot 8 - 2x = 0 Select the correct choice below and, if necessary fill in A. The solution set is (Simplify your answer. Use a comma to separate B. There is no solution.

Solution

x - sqrt(8 -2x) =0

x = sqrt(8-2x)

Taking square on both sides:

x^2 = 8 -2x

x^2 + 2x - 8 =0

x^2 + 4x -2x -8 =0

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

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

x = 2, - 4