已知xy不等于0,且2x^2+5xy-3y^2=0,则x^2-y^2/xy的值是?

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已知xy不等于0,且2x^2+5xy-3y^2=0,则x^2-y^2/xy的值是?

已知xy不等于0,且2x^2+5xy-3y^2=0,则x^2-y^2/xy的值是?
已知xy不等于0,且2x^2+5xy-3y^2=0,则x^2-y^2/xy的值是?

已知xy不等于0,且2x^2+5xy-3y^2=0,则x^2-y^2/xy的值是?
2x^2+5xy-3y^2=0
(2x - y)(x + 3y) = 0
y = 2x 或者x = -3y
当y = 2x时
(x^2-y^2)/xy = x/y - y/x = 1/2 - 2 = -3/2
当x = -3y时
(x^2-y^2)/xy = x/y - y/x = -3 + 1/3 = -8/3