已知xy不等于零,且3x^2-2xy-8y^2=0,求x/y的值

问题描述:

已知xy不等于零,且3x^2-2xy-8y^2=0,求x/y的值

3x² - 2xy - 8y² = 0
两边同除y²得:
3(x/y)² -2(x/y) - 8 = 0
(3x/y + 4)(x/y - 2) = 0
x/y = 2 或 x/y = -4/3