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X^2+1/x^2=18 find x-1/x
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2 votes
X^2+1/x^2=18 find x-1/x

User Qmeeus
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1 Answer

4 votes

Notice that


\left(x-\frac1x\right)^2=x^2-2+\frac1{x^2}=18-2=16

which tells us


x-\frac1x=\pm4

User Hungrykoala
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