Question

if X=1+2^1/3+2^2/3, show that x^3-3x^2-3x-1=0​

Answer 1

Answer:

proof.  do (x-1)³ and simplify.

that is all. easy.

Step-by-step explanation:

Given x = 1 + 2¹/³ + 2²/³

So x - 1 = 2¹/³ + 2²/³

            = 2¹/³ (1 + 2¹/³)

So (x - 1)³ = 2 (1 + 2 + 3 * 2¹/³ + 3 * 2²/³)

  expand on LHS and  simplify on RHS...

so x³ - 1 + 3 x - 3 x² = 6 ( 1 + 2¹/³ + 2²/³)

                         = 6 x  ....  from value of x given..

      So  x³ - 3x² - 3x  -1 = 0

Proved.

Answer 2

Answer:

this is answer and hope this helps you