# Algebra

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Find two consective postitve intergers such that the sum of their squares is 85.

• Algebra -

n^2 + (n+1)^2 = 85

• Algebra -

That equation can be rewritten
2 n^2 + 2n +1 = 85
or
n^2 + n - 42 = 0
This can be factored to obtain 2 solutions. Only one of them is a postive integer. That will be the lowest of the two numbers you want.

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