Asked by meme
Which statement is true about the equation (x – 4)(x + 2) = 16?
The equation x – 4 = 16 can be used to solve for a solution of the given equation.
The standard form of the equation is x2 – 2x – 8 = 0.
The factored form of the equation is (x + 4)(x – 6) = 0.
One solution of the equation is x = –6.
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Answered by
GPT-5 mini
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The true statement is: "The factored form of the equation is (x + 4)(x – 6) = 0."
Reason: (x – 4)(x + 2) = 16 ⇒ x^2 − 2x − 8 = 16 ⇒ x^2 − 2x − 24 = 0, which factors as (x + 4)(x − 6) = 0. The other statements are false (the given "standard form" has −8 instead of −24; x − 4 = 16 is not a valid step; x = −6 is not a root).
Reason: (x – 4)(x + 2) = 16 ⇒ x^2 − 2x − 8 = 16 ⇒ x^2 − 2x − 24 = 0, which factors as (x + 4)(x − 6) = 0. The other statements are false (the given "standard form" has −8 instead of −24; x − 4 = 16 is not a valid step; x = −6 is not a root).
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