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LenaWriter [7]
3 years ago
14

Which of the following are solutions to the quadratic equation? Check all that

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

A and C

Step-by-step explanation:

Given

2x² + 6x - 10 = x² + 6 ( subtract x² + 6 from both sides )

x² + 6x - 16 = 0

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (+ 6)

The factors are + 8 and - 2, since

8 × - 2 = - 16 and 8 - 2 = + 6, thus

(x + 8)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8 → A

x - 2 = 0 ⇒ x = 2 → C

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