Answer:
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
