SOLUTION: Find two consecutive even integers whose product is 24 more than 8 times the larger integer

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Question 416649: Find two consecutive even integers whose product is 24 more than 8 times the larger integer
Answer by stanbon(75887) About Me  (Show Source):
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Find two consecutive even integers whose product is 24 more than 8 times the larger integer
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1st: 2x
2nd: 2x+2
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Equation:
2x(2x+2) = 8(2x+2) + 24
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4x^2+4x = 16x+16 + 24
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4x^2 - 12x - 40 = 0
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x^2 -3x - 10 = 0
(x-5)(x+2) = 0
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If x = 5
2x = 10
and 2x+2 = 12
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If x = -2
2x = -4
2x+2 = -2
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Cheers,
Stan H.
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