Question

if x cube minus 1 by x cube is equal to 14 then x minus one by x is equal to what

Answer 1

by using (x-y) ³ formula
we know that (x-y)³ = x³- (y) ³ - 3xy (x-y)
==> ==> x³ - (1/x)³ - 3.x.1/x ( x-1/x)
===> x³-1/x³ - 3(x-1/x)
==> given that x³-1/x³ = 14
putting value of 14
==> 14-3(x-1/x)
==> 11(x-1/x) = 0
==> x-1/x = 1/11

I hope it's helpful

Answer 2

Step-by-step explanation:

(x+1/x)^3 =x^3+1/x^3+3x×1/x(x+1/x)

14=x^3+1/x^3+3×3

14-9 =x+1/x

x+1/x=2