# Play with roots

Algebra Level 4

$\large(1+\alpha^{2})(1+\beta^{2})(1+\gamma^{2})(1+\delta^{2})$

If $$\alpha,\beta,\gamma,\delta$$ are the roots of the equation $$x^{4}+4x^{3}-6x^{2}+7x-9=0$$, then find the value of the above expression.

×