If x2 - 23x - 1= 0  and x > 1, then the value of x3 - \(\frac{1}{x^3}\) will be:

12324 11234 12236 13245

12236

If x2 - 23x - 1= 0 Divide by x on both sides, x -  \(\frac{1}{x}\) = 23 x3 - \(\frac{1}{x^3}\)  = 233 + 3 × 23 = 12236   Note - if x -  \(\frac{1}{x}\) = a then x3 - \(\frac{1}{x^3}\) =  a3 + 3a