Solve the equation algebraically. X-√8x-16=0

Answer 1

x - √(8x) - 16 = 0

√(8x) = x - 16

Square both sides to get 8x = x² - 32x + 256

x² - 40x + 256 = 0

(x - 32)(x - 8) = 0

x = 32 or x = 8

8 is extraneous, so the only solution is 32.