Question 355717
Hi,
*Note:  Take it a step at a time
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Let n be one of the numbers.  Then (18-n) would be the other
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question states****
{{{n^2 + (18-n)^2 = 170}}}
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{{{n^2 + (18-n)(18-n)= 170}}}
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simplify and solve
{{{ n^2 + n^2 -36n + 324 = 170}}}
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{{{2n^2 -36n + 154 = 0}}}
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{{{n^2 -18n + 77 = 0}}}
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factoring
(n-11)(n-7) = 0
n = 7 or 11   Numbers are 7 and 11
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check your answer
49 = 121 = 170