Question

If x+1/x=3 find the value of x^2 + 1/x^2​

Answer 1

Answer:

First find x + 1/x by using the identity

(x+ 1/x)^2 = (x- 1/x)^2 + 2

We have (x+ 1/x)^2 = 5^2 + 2 = 27

So x+ 1/x = √27 = 3 √3

Hence x^2 - 1/x^2 = (x- 1/x)(x+ 1/x)

= 5(3√3) = 15√3

Step-by-step explanation:

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Answer 2

$\huge \bold \color {lime}{Solution}$