解方程 3/5x²-1/2x-1=0

解方程 3/5x²-1/2x-1=0
解方程 3/5x²-1/2x-1=0

解方程 3/5x²-1/2x-1=0
3/5x²-1/2x-1=0
方程两边同*10
6x^2-5x-1=0
(6x+1)(x-1)=0
x=-1/6 或 x=1

3/5x²-1/2x-1=0
6x²-5x-10=0
x=(5±√265)/12

两边乘5/3
x²-5/6x=5/3
x²-5/6x+25/144=5/3+25/144
(x-5/12)²=265/144
x-5/12=±√265/12
x=(5-√265)/12，x=(5+√265)/12