Answer:
x = 0 , x = 4 , x = 13
Explanation:
given
x³ - 17x² + 52x = 0 ← factor out x from each term on the left side
x(x² - 17x + 52) = 0 ← factorise the quadratic
x(x - 4)(x - 13) = 0
equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
x - 13 = 0 ⇒ x = 13
solutions are x = 0 , x = 4 , x = 13