先化简,再求值:x(2次方)-1/x(2次方)-x-2除以x/2x-4,其中x=1/2

问题描述:

先化简,再求值:x(2次方)-1/x(2次方)-x-2除以x/2x-4,其中x=1/2

x(2次方)-1/x(2次方)-x-2除以x/2x-4
=(x-1)(x+1)/(x-2)(x+1)÷x/2(x-2)
=(x-1)/(x-2)*2(x-2)/x
=2(x-1)/x
=2-2/x
=2-2/(1/2)
=2-4
=-2