化简求值：[3x/(x-1)-2x/(x+1)*(x2-1)/x 其中x=根号5 -5_数学解答

化简求值：[3x/(x-1)-2x/(x+1)*(x2-1)/x 其中x=根号5 -5

人气：141 ℃　时间：2019-10-10 06:36:30

解答

原式=[3x/(x-1)-2x/(x+1)]*(x+1)(x-1)/x
=3x/(x-1)*(x+1)(x-1)/x-2x/(x+1)*(x+1)(x-1)/x
=3(x+1)-2(x-1)
=3x+3-2x+2
=x+5
=√5-5+5
=√5