已知X²-5XY+6Y²=0则X/Y=()
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已知X²-5XY+6Y²=0则X/Y=()
已知X²-5XY+6Y²=0则X/Y=()
已知X²-5XY+6Y²=0则X/Y=()
X²-5XY+6Y²=0
两边同时÷Y²
(X/Y)²-5(X/Y)+6=0
令t=X/Y
即t²-5t+6=0
(t-2)(t-3)=0
t=2 或 t=3
所以,X/Y=2 或 X/Y=3
x²-5xy+6y²=0
divided both sides by xy, we get
x/y - 5 + 6(y/x) = 0
let c = x/y
then
c-5 + 6/c =0
c^2 -5c +6 =0
(c-2)(c-3)=0
c = 2 or 3
then x/y = 2 or 3#