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What is the solution set of the equation

What is the solution set of the equation-example-1
User Pbount
by
6.6k points

1 Answer

4 votes

Answer:

A

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

User Thomas Daugaard
by
6.3k points
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