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What will be the value of $x + 1 x$ , $if x 4 + 1 x 4 = 623 ?$ ,

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3 \sqrt{3}

3 \sqrt{3}

answer is C.

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Detailed Solution

Given,

x 4 + 1 x 4 = 623

We have to find the value of

x + 1 x

.
We know that,

a + b 2 = a 2 + b 2 + 2 a b

Let

a = x 2

and

b = 1 x 2

Substituting

x 4 + 1 x 4 = 623

in equation (1),
Question Image

Now consider

a = x

and

b = 1 x

Substituting

x 2 + 1 x 2 = 25

in equation (2),
Question Image

So,

x + 1 x = 33

.
Therefore, option 3 is correct.

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