解下列分式方程:(1)x^2+3x-8/x^2+10x+25 -(1- 5/x+5)2=1/x+5(要有过程,)
问题描述:
解下列分式方程:(1)x^2+3x-8/x^2+10x+25 -(1- 5/x+5)2=1/x+5(要有过程,)
答
(1)x^2+3x-8/x^2+10x+25 -(1- 5/x+5)2=1/x+5
(x²+3x-8)/(x+5)²-[(x+5-5)/(x+5)]²=1/(x+5)
(3x-8)/(x+5)²=1/(x+5)
3x-8=x+5
x=13/2