--------------------------------------------------- Question --------------------------------------------------- x - 2 = √<span>(x + 10)
--------------------------------------------------- Square both sides </span>--------------------------------------------------- (x - 2)² = (√(x + 10))² (x - 2)² = (x + 10) ← square and square root would will net off each other
--------------------------------------------------- minus x + 10 on both sides --------------------------------------------------- x² - 4x + 4 - x - 10 = 0 x² - 5x - 6 = 0
--------------------------------------------------- Factorise the left side --------------------------------------------------- (x - 6)(x + 1) = 0
--------------------------------------------------- Apply zero product property --------------------------------------------------- x -6 = 0 or x +1 = 0
--------------------------------------------------- Solve x --------------------------------------------------- x = 6 or x = -1
--------------------------------------------------- Answer: x = 6 or x = -1 ---------------------------------------------------
