已知x=3-2,求代数式(x+3x2-3x-x-1x2-6x+9)÷x-9x的值.-数学

题目简介

已知x=3-2,求代数式(x+3x2-3x-x-1x2-6x+9)÷x-9x的值.-数学

题目详情

已知x=3-
2
,求代数式(
x+3
x2-3x
-
x-1
x2-6x+9
x-9
x
的值.
题型:解答题难度:中档来源:不详

答案

(class="stub"x+3
x2-3x
-class="stub"x-1
x2-6x+9
)÷class="stub"x-9
x

=[class="stub"x+3
x(x-3)
-class="stub"x-1
(x-3)2
]•class="stub"x
x-9

=[
(x+3)(x-3)
x(x-3)2
-
(x-1)x
x(x-3)2
]•class="stub"x
x-9

=
x2-9-x2+x
x(x-3)2
•class="stub"x
x-9

=class="stub"1
(x-3)2

x=3-
2
时,
原式class="stub"1
(3-
2
-3)
2
=class="stub"1
2

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