Answer:
(x - 5)² = 1
Step-by-step explanation:
x² - 10x + 24 = 0
look for a number that can be added to give -10 and be multiplied to give 24 which is -6 and -4,
i.e -6 + (-4) = - 6 - 4 = -10
(-6) × (-4) = 24
x² - 6x - 4x + 24 = 0
factorize
x(x - 6) -4(x - 6) =0
(x - 4)(x - 6) = 0
(x - 4) = 0
x = 4
x
(x - 6) = 0
x = 6
(x - 5)² = 1
take root of both sides
√(x - 5) = √1
x - 5 = 1
x = 1 + 5 = 6
