解方程:1.75÷(x-1)+1.75÷(x+1)=5/3

问题描述:

解方程:1.75÷(x-1)+1.75÷(x+1)=5/3
1.75/(x-1)+1.75/(x+1)=5/3

1.75/(x-1)+1.75/(x+1)=5/3
1.75×【1/(x-1)+1/(x+1)】=5/3
1.75×【2x/(x-1)(x+1)】=5/3
3.5×【x/(x-1)(x+1)】=5/3
21×【x/(x-1)(x+1)】=10
21x=10(x-1)(x+1)
21x=10x²-10
10x²-21x-10=0
(5x+2)(2x-5)=0
x=-2/5或x=5/2