x²/(4-x²)=1/(x+2) -1解分式方程,
问题描述:
x²/(4-x²)=1/(x+2) -1解分式方程,
答
x²/(4-x²)-1/(x+2) +1=0
-x²/(x²-4)-1/(x+2) +1=0
x²/(x²-4)+1/(x+2) -1=0
x²+(x-2)-(x²-4)/(x²-4)=0
约得x-2=0
所以得出x=2
答
x²/(4-x²)=1/(x+2) -1
x^2=2-x+x^2-4
x=-2
因分母不能为0
故该方程无解