If x-1/x=9 then find x^2-1/x^2
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We have x-1/x=9
So (x+1/x)^2=(x-1/x)^2+4x×1/x
=81+4=85
or, (x+1/x)=√85
Now, x^2-1/x^2=√85×9=9√85
So (x+1/x)^2=(x-1/x)^2+4x×1/x
=81+4=85
or, (x+1/x)=√85
Now, x^2-1/x^2=√85×9=9√85
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