The solutions are: x = -5, 2 ;
which are Answer choices: [E] and [F] .
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Given:
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x² + 4x − 9 = x + 1 ;
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Simplify, by subtracting "x" and "1" from EACH SIDE of the equation:
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x² + 4x − 9 − x − 1 = x + 1 − x − 1 ;
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to get:
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x² + 3x − 10 = 0 ;
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Now, we can factor the left-hand side of the equation:
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x² + 3x − 10 = (x + 5) (x − 2); and rewrite the equation as:
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(x + 5) (x − 2) = 0 ;
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The solutions are: x = -5, 2 ;
which are Answer choices: [E] and [F] .
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