化简方程！急

将方程：a=(9/5)*(a-2)*(a-m)
和：a=(9/5)*(1/a-2)*(1/a-m)
化简为：13a^2-45a+18=0(即消去m），
求具体化简过程（越详细越好）

a=(9/5)*(a-2)*(a-m) ----------(1)
a=(9/5)*(1/a-2)*(1/a-m) ----------(2)
显然有(a-2)*(a-m)=（1/a-2)*(1/a-m)
<=>a^2-(2+m)a+2m=(1/a)^2-(2+m)*(1/a)+2m
<=>a^2-(1/a)^2-(2+m)a-(2+m)*(1/a)=0
<=>(a-1/a)(a+1/a-2-m)=0
<=>a=1或-1或a+1/a-2-m=0 当a=1或-1时直接代入可得m=14/9 或者-32/27
当a+1/a-2-m=0时即m=a+1/a-2 代入（1）有
a=9/5*(a-2)*(a-a-1/a+2) <=>5a=(a-2)*(2-1/a) <=>5a^2=(a-2)(2a-1)
<=>13a^2-45a+18=0

[3/(a+1)-(a+1)]÷[(a²-4a+4)/(a+1)]

=[3-(a+1)²]÷(a²-4a+4)

=(3-a²-2a-1)÷(a-2)²

=(2-a²-2a)÷(a-2)²

=(4-a²-2a+4-6)÷(a-2)²

=[(2-a)(a+2)-2(a-2)-6]÷(a-2)²

=(a+2)/(2-a-)-2/(a-2)-6/(a-2)²

(a-2)*(a-m)=(1/a-2)*(1/a-m) 即(a-2)*(a-m)=(1-2a)/a*(1-am)/a 剩下的只能硬化

a=(9/5)*(a-2)*(a-m) a=(9/5)*(1/a-2)*(1/a-m) 显然有(a-2)*(a-m)=（1/a-2)*(1/a-m) <=>a^2-(2+m)a+2m=(1/a)^2-(2+m)*(1/a)+2m <=>a^2-(1/a)^2-(2+m)a-(2+m)*(1/a)=0 当a+1/a-2-m=0时即m=a+1/a-2 代入（1） a=9/5*(a-2)*(a-a-1/a+2) <=>5a=(a-2)*(2-1/a) <=>5a^2=(a-2)(2a-1) <=>13a^2-45a+18=0