Problema Solution

two consecutive odd negative integers have a product of 99. Find the integers.

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Two consecutive odd integers have a product of 99. Find all sets of integers



Answer

1st: 2x-1

2nd: 2x+1

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Equation:

(2x-1)(2x+1) = 99

4x^2-1 = 99

4x^2 = 100

x^2 = 25

x = 5 or -5

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If x = 5,

2x-1 = 9

2x+1 = 11

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If x = -5,

2x-1 = -11

2x+1 = -9