SOLUTION: find two consecutive integers such that the square of the sum of the two integers is 8 more than the first integer.
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Question 954855
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find two consecutive integers such that the square of the sum of the two integers is 8 more than the first integer.
Answer by
CubeyThePenguin(3113)
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consecutive integers: x, (x+1)
(x + (x+1))^2 = x + 8
(2x+1)^2 = x + 8
4x^2 + 4x + 1 = x + 8
4x^2 + 3x - 7 = 0
(x - 1)(4x + 7) = 0
The integers are 1 and 2.