Question 142736
Let x and y the numbers so:

x+y=8
xy=2

y=8-x then x(8-x)=2 then -x^2+8x-2=0
{{{x = (-8 +- sqrt( 8^2-4*(-1)*(-2) ))/(2*(-1)) }}} =
{{{x = (-8 +- sqrt( 56 ))/-2) }}}={{{x = 4 +- sqrt( 14 )) }}}

solutions are {{{x = 4 + sqrt( 14 )) }}}and{{{x = 4 -sqrt(14))}}}