Solve the radical equation

Question

Solve the radical equation

sqrt(x-1)+2=sqrt(2x+2)

Answer 1

Answer 2

sqr(x-1) + 2 = sqr(2x+2)

square both sides

x-1 + 4sqr(x-1) + 4 = 2x+2

4sqr(x-1) = x-1

sqr(x-1) = x/4 +1/4

square both sides

x-1 = x^2/16 +x/8 + 1/16

multiply by 16

16x -16 = x^2 -2x +1

x^2 -18x +17 = 0

(x-17)(x-1) = 0

x = 1 or 17

Answer 3

x =1 or x = 17

Answer 4

Solving a complex radical equation!!