In the expansion of \(\left(x+\sqrt{x^3-1}\right)^5+\left(x-\sqrt{x^3-1}\right)^5\), where \(\alpha, \beta, \gamma\) and…

In the expansion of \(\left(x+\sqrt{x^3-1}\right)^5+\left(x-\sqrt{x^3-1}\right)^5\), where \(\alpha, \beta, \gamma\) and \(\delta\) are the coefficient \(x^3, x^5\) \(x^7\) and \(x\) respectively. If \(\alpha u-\beta v=18\) and \(\gamma u+\delta v=20\), then \(u+v\) is equal to