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.

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