Answer: x = 0, x = 9
Step-by-step explanation:
x = 3√x Restriction: x ≥ 0
(x)² = (3√x)² square both sides
x² = 9x simplified
x² - 9x = 0 subtracted 9x from both sides
x(x - 9) = 0 factored quadratic equation
x = 0 and x - 9 = 0 applied zero product property
x = 0 and x = 9 solved for x
Both solutions satisfy the restriction!