If X = a^1/3 - a^-1/3 , show that x^3 + 3x = a - 1/a

asked Feb 13, 2021 113k views

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3 votes

Answer:

Explanation:

Hello,

$(a^(1/3)-a^(-1/3))^3=a-3a^(1/3)+3a^(-1/3)-(1)/(a)=-3x+a-(1)/(a)\\\\<=> x^3+3x=a-(1)/(a)$

Thanks

Orangutan answered Feb 16, 2021

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