Question

If x-1/x = √5 , then find the value of x³+ 1/x³.
Anyone please answer this question .​

Answer 1

Answer:

$8\sqrt{5}$

Step-by-step explanation:

The question is WRONG. It should ask to find-(($x^3-1/x^3$))

$x-1/x=\sqrt{5}$

$(x-1/x)^3=(\sqrt{5} )^3$

$x^3-1/x^3-3(x)(1/x)(x-1/x)$

$x^3-1/x^3-3(\sqrt{5})=5\sqrt{5}$

$x^3-1/x^3=8\sqrt{5}$

Hence the answer will be $8\sqrt{5}$.

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