Question

solve for x= x⅔ + x⅓ -2=0
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Answer 1

Answer

Step-by-step explanation:

this is the correct answer

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Answer 2

Answer:

$\huge{\mathcal{\color{red}{A}{\color{magenta}{N}{\color{olive}{S}{\color{black}{W}{\color{white}{E}{\color{blue}{R}}}}}}}}$

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Given Equation:-

$\sf\large\star\: { \underline{ \color{skyblue} { :⟹ {x}^ { \frac{2}{3} } + {x}^{ \frac{1}{3} } - 2 = 0}}}$

$\sf{let \: {x}^{ \frac{1}{3} } = y }$

$\sf \bold \color{darkgreen} {:⟹ {y}^{2} + y - 2 = 0}$

$\sf {:⟹ {y}^{2} + 2y - y - 2 = 0}$

$\sf{:⟹y(y + 2) - 1( y + 2) = 0}$

$\sf{:⟹(y + 2)(y - 1)}$

$\sf \large \bold{ \fbox{ \color{orange}{:⟹y = - 2,1 }}}$

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$\sf{:⟹y = - 2}$

$\sf {:⟹{x}^{ \frac{1}{3} } = - 2}$

$\sf{:⟹{x = ( { - 2})^{3} }}$

$\sf\large{ \fbox{ \color{lightgreen}{:⟹x = - 8}}}$

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$\sf{:⟹y = 1}$

$\sf{ :⟹{x}^{ \frac{1}{3} } } = 1$

$\sf{:⟹x = ({1})^{3} }$

$\sf\large{ \fbox{ \color{lightgreen}{:⟹x = 1}}}$

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$\huge\sf{ \fbox{ \fbox{ \color{yellow}{:⟹∴x = - 8,1}}}}$

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