x - 1 = sqrt (6x + 10) solve for x square both sides
(x - 1)^2 = 6x + 10
x^2 - 2x +1 = 6x + 10
x^2 - 8x - 9 = 0
(x -9) (x + 1) = 0
x = 9 or x = -1
================================
CHECK:
let x = 9
x - 1 = sqrt(6x +10)
9 - 1 = sqrt(6*9 + 10)
8 = sqrt (64)
8 = 8 check
=================================
let x = -1
x - 1 = sqrt(6x + 10)
-1 - 1 = sqrt(6(-1) + 10
-2 = sqrt(-6+10)
-2 = -2 check