Question

If $p=2^{\frac{2}{3}}+2^{\frac{1}{3}}$ then ?

• A. $p^2-6p+6=0$
• B. $p^2-3p-6=0$
• C. $p^2-6p-6=0$
• D. $p^2-3p+6=0$

Answer 1

The correct option is C $p^2-6p-6=0$

$p=2^{2/3}+2^{1/3}$

$p^3=2_1+2+{32}^{2/3}\cdot 2^{1/3}(2^{2/3}+2^{1/3})$

$p^3=4+2+3.2p$

$p^3-6p-6=0$.