怎么求y=x^2/(x^2-2x+3)的值域如题

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怎么求y=x^2/(x^2-2x+3)的值域如题怎么求y=x^2/(x^2-2x+3)的值域如题怎么求y=x^2/(x^2-2x+3)的值域如题y=x^2/(x^2-2x+3)yx^2-2yx+3y=

怎么求y=x^2/(x^2-2x+3)的值域如题
怎么求y=x^2/(x^2-2x+3)的值域
如题

怎么求y=x^2/(x^2-2x+3)的值域如题
y=x^2/(x^2-2x+3)
yx^2-2yx+3y=x^2
(y-1)x^2-2yx+3y=0
△=4y^2-4(y-1)(3y)>=0
4y^2-4(3y^2-3y)>=0
y^2-3y^2+3y>=0
-2y^2+3y>=0
2y^2-3y