Question 858975
1.{{{A+B=2}}}
2.{{{A*B=-1}}}
From eq. 2,
{{{A=-1/B}}}
Substitute into eq. 1,
{{{-1/B+B=2}}}
{{{-1+B^2=2B}}}
{{{B^2-2B=1}}}
{{{B^2-2B+1=1+1}}}
{{{(B-1)^2=2}}}
{{{B-1=0 +- sqrt(2)}}}
{{{B=1 +- sqrt(2)}}}
From eq. 1,
{{{A=2-B}}}
{{{A=2-(1+- sqrt(2))}}}
{{{A=1 +- sqrt(2)}}} (in this case it should be -/+ but there's no symbol for that)
So then,
{{{A=1-sqrt(2)}}} and {{{B=1+sqrt(2)}}} 
or
{{{A=1+sqrt(2)}}} and {{{B+1-sqrt(2)}}}