Question 1081674
{{{y=8x-x^2}}}
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{{{x^2-x(8x-x^2)+8=0}}}
{{{x^2-8x^2+x^3+8=0}}}
{{{-7x^2+x^3+8=0}}}
{{{x^3-7x^2+8=0}}}


The one rational root for the cubic equation seems to be {{{-1}}}.  Check on this further and if it works, find the resulting roots for the quadratic factor part.  Continue to find the corresponding y values.