Question 1139332
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Given:
(1) {{{x-y = 8*sqrt(2)}}}
(2) {{{xy = 137}}}<br>
Square equation (1):
{{{x^2-2xy+y^2 = 64*2 = 128}}}<br>
Add 4 times equation (2):
{{{(x^2-2xy+y^2)+4(xy) = 128+4(137) = 128+548 = 676}}}
{{{x^2+2xy+y^2 = (x+y)^2 = 676}}}
{{{x+y = sqrt(676) = 26}}}