Let α, β, γ and δ be the coefficients of x^7, x^5, x^3 and x respectively in the expansion of (x+√(x^3-1))^5+(x-√(x^3-1))^5, x>1. If u and v satisfy…

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