If x=2^1/3 + 2^2/3 show that …
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Posted by Titi Karmi 3 years ago
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Sia ? 3 years ago
x = {tex}2^{1 / 3}+2^{2 / 3}{/tex}
x3 = {tex}\left(2^{1 / 3}+2^{2 / 3}\right)^{3}{/tex}
{tex}\Rightarrow{/tex} x3 = {tex}\left(2^{1 / 3}\right)^{3}{/tex} + {tex}\left(2^{2 / 3}\right)^{3}{/tex} + 3 {tex}\times{/tex} {tex}2^{1 / 3}{/tex} {tex}\times{/tex} {tex}2^{2 / 3}{/tex}{tex}\left(2^{1 / 3}+2^{2 / 3}\right){/tex}
{tex}\Rightarrow{/tex} x3 = 2 + 22 + 3 {tex}\times{/tex} 2{tex}\left(2^{1 / 3}+2^{2 / 3}\right.){/tex}
{tex}\Rightarrow{/tex} x3 = 6 + 6{tex}\left(2^{1 / 3}+2^{2 / 3}\right.){/tex}
{tex}\Rightarrow{/tex} x3 = 6 + 6x
{tex}\Rightarrow{/tex} x3 - 6x = 6
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