Question 1045481
{{{system(x+y=14,x^2+y^2=100)}}}


{{{x^2+(14-x)^2=100}}}
{{{x^2+196-28x+x^2-100=0}}}
{{{2x^2-28x+96=0}}}
{{{x^2-14x+48=0}}}
{{{(x-6)(x-8)=0}}}


The two numbers are 6 and 8.