SOLUTION: find two consecutive positive integers such that the square of the smaller integer added to six times the larger integer is equal to 61

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Question 625429: find two consecutive positive integers such that the square of the smaller integer added to six times the larger integer is equal to 61
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
Those integers are n and n+1
where n^2+6(n+1)=61
n^2+6n-55 = 0
(n+11)(n-5) = 0
n = -11 or n = 5
Then n = 5 and n+1 = 6
Answer: 5 and 6
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