Solve the radical equation enter your answer Squareroot 2x

Solve the radical equation. (enter your answer Squareroot 2x + 18 - Squareroot 2x - 2 = 2 x = 12

Solution

(2x+18)^0.5-(2x-2)^0.5=2

(2x+18)^0.5=(2x-2)^0.5+2

now squaring on both sides and get,

2x+18=2x-2+4+4(2x-2)^0.5

16=4(2x-2)^0.5

(2x-2)^0.5=4

2x-2=16

2x=18

x=9

so,value of x=9