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Finding Squares of Numbers

If x+1 x=4, t...

Question

If $x + \frac{1}{x}$ = 4, then $x^{4} + \frac{1}{x^{4}} =$

(a) 196

(b) 194

(c) 192

(d) 190

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Solution

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

Given

We shall use the identity

Here put,

Squaring on both sides we get,

Hence the value of is

Hence the correct choice is (b).

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Similar questions

\sqrt{x} + \frac{1}{\sqrt{x}} = \sqrt{6},

then the value of

(x^{4} - 190 + \frac{1}{x^{4}})

x^{4} + \frac{1}{x^{4}} = 623

x + \frac{1}{x} =

(a) 27

(b) 25

(c)

3 \sqrt{3}

- 3 \sqrt{3}

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

,then find the value of

x^{4} + \frac{1}{x^{4}}

(x + \frac{1}{x}) = 4

, find the values of
(i)

(x^{2} + \frac{1}{x^{2}})

(x^{4} + \frac{1}{x^{4}})

x + \frac{1}{x} = 9,

find the value of

x^{4} + \frac{1}{x^{4}} .

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