Question 1150395
{{{system(x+y=7,x^2+y^2=37)}}}


{{{(x+y)(x+y)=7*7}}}
{{{x^2+2y^2+2xy=7*7}}}
{{{37+2xy=49}}}
{{{2xy=12}}}
{{{xy=6}}}


{{{y=7-x}}}
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{{{x(7-x)=6}}}
{{{-x^2+7x=6}}}
{{{-x^2+7x-6=0}}}
{{{x^2-7x+6=0}}}
{{{(x-1)(x-6)=0}}}
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{{{system(x=1,or,x=6)}}}


The integers are 1 and 6.