Consider an equation \( \log _{2}\left(\alpha^{6}-16 \alpha^{3}+66\right)+\sqrt{4 \beta^{4}-8 \b... VIDEO
Consider an equation \( \log _{2}\left(\alpha^{6}-16 \alpha^{3}+66\right)+\sqrt{4 \beta^{4}-8 \beta^{2}+13}+\left|\left[\frac{\gamma}{3}-2\right]\right|=4 \), where \( \alpha, \beta, \gamma \) are integers and \( m, n \) and \( r \) are the number of values of \( \alpha, \beta \) and \( \gamma \) respectively which satisfy the above equation.
[Note : \( [y] \) denotes greatest integer function of \( y \).]
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