Question

If x-1/x is root 3 then find x³-1/x³



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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

EXPLANATION.

⇒ x - 1/x = √3.

As we know that,

Cube both sides of the equation, we get.

⇒ (x - 1/x)³ = (√3)³.

⇒ x³ - 3(x²)(1/x) + 3(x)(1/x²) - 1/x³ = 3√3.

⇒ x³ - 3x + 3/x - 1/x³ = 3√3.

⇒ x³ - 3(x - 1/x) - 1/x³ = 3√3.

Put the value of (x - 1/x) = √3 in the equation, we get.

⇒ x³ - 3(√3) - 1/x³ = 3√3.

⇒ x³ - 1/x³ - 3√3 = 3√3.

⇒ x³ - 1/x³ = 3√3 + 3√3.

⇒ x³ - 1/x³ = 6√3.