问题
填空题
若x2-3x+1=0，则
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答案
由已知x2-3x+1=0变换得x2=3x-1
将x2=3x-1代入
=x2 x4+x2+1
=x2 (3x-1)2+x2+1
=x2 10x2-6x+2
=3x-1 10(3x-1)-6x+2
=3x-1 24x-8
=3x-1 8(3x-1) 1 8
故答案为
．1 8
搜题请搜索小程序“爱下问搜题”
若x2-3x+1=0，则
|
由已知x2-3x+1=0变换得x2=3x-1
将x2=3x-1代入
=x2 x4+x2+1
=x2 (3x-1)2+x2+1
=x2 10x2-6x+2
=3x-1 10(3x-1)-6x+2
=3x-1 24x-8
=3x-1 8(3x-1) 1 8
故答案为
．1 8