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Previous Year Question (PYQs)
3
Let $\alpha, \beta, \gamma$ and $\delta$ be the coefficients of $x^7, x^5, x^3$ and $x$ respectively in the expansion of
$\begin{aligned}
& \left(x+\sqrt{x^3-1}\right)^5+\left(x-\sqrt{x^3-1}\right)^5, x>1 \text {. If } u \text { and } v \text { satisfy the equations } \\\\
& \alpha u+\beta v=18, \\\\
& \gamma u+\delta v=20,
\end{aligned}$ then $\mathrm{u+v}$ equals :
Solution
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