2. Which of the following values of x are solutions
to the equation x2 + 2x = 3? Select all that
apply.
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Answer:
C and D
Step-by-step 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