engineering recuitment HPCL Junior Executive 2025 Mock Test Quantitative Aptitude Algebra Identities
If \(x + \frac{1}{x} = \frac{7}{{\sqrt 6 }}\) and \(x > \frac{1}{x},\) then find the value of \(\left( {{x^3} - \frac{1}{{{x^3}}}} \right).\)
1
\(- \frac{{215}}{{6\sqrt 6 }}\)
2
\(- \frac{{215}}{{\sqrt 6 }}\)
3
\(\frac{{215}}{{\sqrt 6 }}\)
4
\(\frac{{215}}{{6\sqrt 6 }}\)