Question

If x + 1/x = 11 then find the value of x2 + 1/x2 .

Answer 1

Given Equation is x + 1/x = 11

On squaring both sides, we get

= > (x + 1/x)^2 = (11)^2

= > x^2 + 1/x^2 + 2 * x * 1/x = 121

= > x^2 + 1/x^2 + 2 = 121

= > x^2 + 1/x^2 = 121 - 2

= > x^2 + 1/x^2 = 119.


Hope this helps!

Answer 2

Hey !
Here is your answer !!
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Given !!

x + 1 / x = 11

To find -- x2 + 1 / x2

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Using the formula -->

[ x + 1 / x ]2 = x2 + 1 / x2 + 2

[ 11 ]2 = x2 + 1 / x2 + 2

x2 + 1 / x2 = 121 - 2 = 119

Hence the answer is 119

Hope it helps !! :)
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