The solution of y²-2y=8

a) 0 or 2

b) 5 and 10

c) 0 and - 2

d) 2 and 5

y = - 2 and y = 4

Step-by-step explanation:

Given

y² - 2y = 8 (subtract 8 from both sides)

y² - 2y - 8 = 0

Consider the factors of the constant term ( - 8) which sum to give the coefficient of the y - term ( - 2)

The factors are - 4 and + 2, since

- 4 * 2 = - 8 and - 4 + 2 = - 2, thus

(y - 4) (y + 2) = 0 ← in factored form

Equate each factor to zero and solve for y

y + 2 = 0 ⇒ y = - 2

y - 4 = 0 ⇒ y = 4

None of the solutions on the given list are correct

b

Step-by-step explanation:

(y-10) (y-5) = 0

y=10, y=5