Question

If Anyone can then plz.
${x}^{3} + \frac{1}{x {}^{3} } = 110 \\ \: find \: x \: + \frac{1}{x}$
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Answer 1

Given :

x³ + 1/x³ = 110

.°. (x + 1/x)³ - 3(x + 1/x) = 110

Now,

Let us assume that x + 1/x = k

.°. k³ - 3k - 110 = 0

We can also write this as :

k ( k² - 3) = 110

k ( k² - 3) = 5 ( 5² - 3)

Thus,

Comparing both the L.H.S and R.H.S ,

we can say that :

k = 5

Thus,

As k = x + 1/x

"x + 1/x = 5"

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Answer 2

Answer:

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Step-by-step explanation:

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