word problem: consecutive integers whose squares sum to 85

mandora1

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May 24, 2006
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Find two consecutive positive integers such that the sum of their squares is 85.
 
2^2 + 3^2 = 4 + 9 = 13

YOUR job is to find something similar that adds to 85;
so n^2 + (n+1)^2 = 85. Solve for n.
 
Re: word problem: consecutive integers whose squares sum to

mandora1 said:
Find two consecutive positive integers such that the sum of their squares is 85.
x^2 + (x + 1)^2 = 85

I bet you can take it from here.
 
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