2X^2-7X+2=0,求X^2+1/X^2

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2X^2-7X+2=0,求X^2+1/X^2

2x^2-7x+2=0
x+1/x=7/2
(x+1/x)^2=x^2+1/x^2+2=49/4
x^2+1/x^2=49/4-2=41/4