The sum of the square of two consecutive intergers is 41

n^2 + (n+1)^2 = 41

n^2 + n^2 + 2n + 1 = 41

2n^2 + 2n  -40 = 0

n = 4 and n=-5

4^2 + 5^2 = 41 correct

-5^2 + -4^2 = 41 correct

So, the integers are 4 and 5 AND -4 and -5

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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