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如果x^2 - 5x + 1 = 0,那么3 - 10x + 2x^2 = ( ) ,x^2 + 1/(x^2) = ()
人气:305 ℃ 时间:2020-03-27 03:28:12
解答
x^2 - 5x + 1 = 0
x^2+1=5x
两边除以x,(x可以得到不等于0)
x+1/x=5
3-10x+2x^2
=2(x^2-5x)+3
=2*(-1)+3
=1
x^2+1/x^2
=(x+1/x)^2-2
=5^2-2
=23
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