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)
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![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)](/uploads/image/z/5499295-7-5.jpg?t=%E5%8C%96%E7%AE%80%E6%96%B9%E7%A8%8B%21%E6%80%A5%E5%B0%86%E6%96%B9%E7%A8%8B%EF%BC%9Aa%3D%289%2F5%29%2A%28a-2%29%2A%28a-m%29%E5%92%8C%EF%BC%9Aa%3D%289%2F5%29%2A%281%2Fa-2%29%2A%281%2Fa-m%29%E5%8C%96%E7%AE%80%E4%B8%BA%EF%BC%9A13a%5E2-45a%2B18%3D0%28%E5%8D%B3%E6%B6%88%E5%8E%BBm%EF%BC%89%2C%E6%B1%82%E5%85%B7%E4%BD%93%E5%8C%96%E7%AE%80%E8%BF%87%E7%A8%8B%EF%BC%88%E8%B6%8A%E8%AF%A6%E7%BB%86%E8%B6%8A%E5%A5%BD%EF%BC%89)
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)
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)
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
(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
很简单
两式一比 得出a与m的关系
用a表示m 然后代入上式的任意一个 化简即可
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