解方程(1)1/x-3+1/x+3=4/x2-9 (2)4/x2-2x+1/x=2/x-2
问题描述:
解方程(1)1/x-3+1/x+3=4/x2-9 (2)4/x2-2x+1/x=2/x-2
x-3/4-x -1=1/x-4
1/1-x2+1/x+1=3/1-x
答
(1)1/(x-3)+1/(x+3)=(x+3+x-3)/[(x-3)(x+3)]=2x/(x^2-9)2x/(x^2-9)=4/(x^2-9),所以2x=4,x=2.x不等于3或-3,所以有解2.(2)方程左边=(4+x-2)/(x^2-2x),方程右边=2/(x-2)=2x/(x^2-2x)所以x+2=2x,x=2.但x=2时,分母=0,所...