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(x - 7)(x - 5) = 3


1 Answer

2 votes

Answer:

x = 4, x = 8

Explanation:

Given

(x - 7)(x - 5) = 3 ← expand factors using FOIL

x² - 12x + 35 = 3 ( subtract 3 from both sides )

x² - 12x + 32 = 0 ← in standard form

(x - 4)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x - 8 = 0 ⇒ x = 8

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