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Vinil7 [7]
2 years ago
5

What is the solution set of the equation

Mathematics
1 answer:
cupoosta [38]2 years ago
5 0

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

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