If $ x^2+1/x^2=66$ find$x-1/x$

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If $x^2+1/x^2=66$ find $x-1/x$

A10

B9

C8

D6

Answer:

C. 8

Read Explanation:

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

$(x-1/x)^2=x^2+1/x^2-2=66-2=64$

$x-1/x=\sqrt{64}=8$

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