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Finding Squares of Numbers

If x+1 x=3, t...

Question

If $x + \frac{1}{x} = 3$ , then $x^{6} + \frac{1}{x^{6}}$ =

(a) 927

(b) 414

(c) 364

(d) 322

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Solution

In the given problem, we have to find the value of

Given

We shall use the identityand

Here put,

Take Cube on both sides we get,

Hence the value of is

Hence the correct choice is (d).

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Similar questions

$x + \frac{1}{x} = 3 t h e n x^{6} + \frac{1}{x^{6}} =$

x + \frac{1}{x} = 3

, then find the value of

x^{6} + \frac{1}{x^{6}}

\sqrt{1 - x^{6}} + \sqrt{1 - y^{6}} = a^{3} (x^{3} - y^{3})

\frac{d y}{d x}

is equal to
(a)

\frac{x^{2}}{y^{2}} \sqrt{\frac{1 - y^{6}}{1 - x^{6}}}

\frac{y^{2}}{x^{2}} \sqrt{\frac{1 - y^{6}}{1 + x^{6}}}

\frac{x^{2}}{y^{2}} \sqrt{\frac{1 - x^{6}}{1 - y^{6}}}

(d) none of these

x + \frac{1}{x} = 3

, then the value of

x^{6} + \frac{1}{x^{6}}

x + \frac{1}{x} = 3

then the value of

x^{6} + \frac{1}{x^{6}}

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Finding Squares of Numbers

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