If x2 - 11x - 1= 0  and x > 1, then the value of x3 - \(\frac{1}{x^3}\) will be:

1356 1364 1360 1370

1364

If x2 - 11x - 1= 0 Divide by x on both sides, x -  \(\frac{1}{x}\) = 11 x3 - \(\frac{1}{x^3}\)  = 113 + 3 × 11 = 1364   Note - if x -  \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) =  a3 + 3a