(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem is

If x= 2+2^{2/3}+2^{1/3}

solve

x^{3}-6x^{ 2}+ 6x-2 =0

2. Relevant equations

3. The attempt at a solution

First i tried to substitute the values but its turning out to be really big( and i get quite scared when it turns up like this and so i didn't go any further this way)

then I tried to make a cube of x-1

Like this

x^{3}-1 -3x^{2}+ 3x-3x^{ 2}+3x-1+x^{3}=0

<==>(x-1)^{3}+(x-1)^{3}=x^{3}

<==>2(x-1)^{3}=x^{3}

Well I can't get any further!!

Happy if anyone helps!!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Also indices

**Physics Forums | Science Articles, Homework Help, Discussion**