(y+2)^2=9(3y-1)^2解方程

(y+2)^2=9(3y-1)^2解方程


依題意得,y+2=3(3y-1)或-3(3y-1)
即8y=5或10y=1
解得y=8/5或y=1/10



解方程:(y-3y+2)(y+3y-2)=y(y+3)(y-3)


(y-3y+2)(y+3y-2)=[y^ 2-(3y-2)](y^ 2+3y-2)=y^ 4-(3y-2)^ 2=y^ 2(y^ 2-9)化簡得12y-4=0,解得y=1/3



解方程(3y方-y)方等於3(3y方-y)-2


設W=3Y²;-Y,
於是原方程化為:
W²;-3W+2=0
(W-1)(W-2)=0
W=1或W=2,
當W=1,即3Y²;-Y-1=0,
Y1、2=(1±√13)/6,
當W=2時,即3Y²;-Y-2=0,
(3Y+2)(Y-1)=0
Y3=-2/3,Y4=1.