Question

2. Which of the following values of x are solutions

to the equation x2 + 2x = 3? Select all that
apply.

Answer 1

C and D

Explanation:

Given

x² + 2x = 3 ( subtract 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3 → D

x - 1 = 0 ⇒ x = 1 → C