If x-a1 - 3-a-1 - 3-then find x3-3 x-a

Sol: x = (a1/3) (a 1/3) Cubing on both sides, x3 = (a1/3)3 (a 1/3)3 3(a1/3 a 1/3) x3 = a a 1 3x Putting x3 in the given equation x3 + 3x a We get ...

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Solving Equations Using Method of Substitution

If x=a1 / 3-a...

Question

If x=a⅓-a^-⅓,then find x³-3x-a

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

x^{3} - 3 x^{2} - 3 x - 1

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