Question

Please help . Fast!!!!! Answer please..​

Answer 1

x = 11

Explanation:

Given;

`x-(1)/(x)=3`

Squaring equation;

`(x-(1)/(x))^2=3^2`

`x^2+(1)/(x)^2-2*x*((1)/(x))=9`

By algebraic identity :

`(a-b)^2=a^2+b^2-2ab`

Substitute

`x^2+(1)/(x)^2 - 2 = 9`

Add

`x^2 + (1)/(x)^2 = 9 +2`

Simplify

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

Hence, x = 11.

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