分式方程:x+2/x-2-1=x^-4/3
问题描述:
分式方程:x+2/x-2-1=x^-4/3
答
(x-2)/(x+2) -1 = 3/ (x^2-4)
(x-2)/(x+2) -1 - 3/ (x^2-4) = 0
{ (x-2)^2 - (x^2-4) - 3 } /{(x+2)(x-2)} = 0
{ x^2-4x+4 - x^2 + 4 - 3 } /{(x+2)(x-2)} = 0
{ -4x+5 } /{(x+2)(x-2)} = 0
x = 5/4