已知x/y=4/3,求3x^2-5xy+2y^2/2x^2+3xy-5y^2

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已知x/y=4/3,求3x^2-5xy+2y^2/2x^2+3xy-5y^2
已知x/y=4/3,求3x^2-5xy+2y^2/2x^2+3xy-5y^2

已知x/y=4/3,求3x^2-5xy+2y^2/2x^2+3xy-5y^2
答：
x/y=4/3
y/x=3/4
(3x^2-5xy+2y^2) / (2x^2+3xy-5y^2) 分子分母同时除以xy得：
=(3x/y-5+2y/x) / (2x/y+3-5y/x)
=(4-5+3/2) / (8/3+3-15/4)
=(1/2) / (17/3-15/4)
=1/(34/3-15/2)
=1/(68/6-45/6)
=6/23

收起

设
3x^2-5xy+2y^2/2x^2+3xy-5y^2=z
因为Y不等于0 所以两边都同时除以Y
再把X/Y=4/3代入算式
也可以设X=4a Y=3a 代入算式求解且a不等于0

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