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If x=3-2sqrt(2),find x^2+1/(x^2)...

If `x=3-2sqrt(2)`,find `x^2+1/(x^2)`

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`x^2= 17-12 (sqrt 2)`
`1/x^2=1/(17-12 (sqrt 2))`
`x^2+(1/x)^2`=` [17-12 (sqrt 2)]+ [1/(17-12 (sqrt 2))]`
`[[17-12 (sqrt 2)]^2 + 1]/[17-12 (sqrt 2)]`
=`36-2`
=`34`.
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