Answer:
A
Step-by-step explanation:
Given
x² + 3x - 4 = 6 ( subtract 6 from both sides )
x² + 3x - 10 = 0 ← in standard form
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)
The factors are + 5 and - 2, since
5 × - 2 = - 10 and 5 - 2 = + 3, thus
(x + 5)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 5 = 0 ⇒ x = - 5
x - 2 = 0 ⇒ x = 2
solution set is { - 5, 2 } → A
