Hard to simplify?
Algebra
Level
3
If \(\alpha,\beta\) are the roots of the quadratic equation
\(x^2-\left( 3+2^{\sqrt{\log_23}}-3^{\sqrt{\log_32}} \right)x-2\left( 3^{\log_32}-2^{\log_23} \right) =0\),
then find the value of \(\left( \alpha^2+\alpha\beta+\beta^2 \right) \).
by
Sandeep Bhardwaj