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Reducing Equations to Simpler Form

Solve the fol...

Question

Solve the following equation:
$\sqrt[3]{x} + 2 \sqrt[3]{x^{2}} = 3$

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Solution

let $x^{1 / 3} = y ⟹ y + 2 y^{2} - 3 = 0$
$⟹ y = - 3 / 2, 1 ⟹ x = \frac{- 27}{8}, 1$

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Reducing Equations to Simpler Form

Standard VIII Mathematics

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