(1)解方程:x/x−2+2/x2−4=1; (2)计算:(x+2/x2−2x-x−1x2−4x+4)÷x−4x.
问题描述:
(1)解方程:
+x x−2
=1; 2
x2−4
(2)计算:(
-x+2
x2−2x
)÷x−1
x2−4x+4
. x−4 x
答
(1)去分母得:x(x+2)+2(x-2)=x2-4,去括号得:x2+2x+2x-4=x2-4,移项合并得:4x=0,解得:x=0,经检验x=0是分式方程的解;(2)原式=[x+2x(x−2)-x−1(x−2)2]•xx−4=(x+2)(x−2)−x(x−1)x(x−2)2•xx−4=x...