Question

Which equation is equivalent to x2 - 10x + 24 = 0?

Answer 1

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