已知3a^2-5ab-2b^2=0,求4a+b/4a-b

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已知3a^2-5ab-2b^2=0,求4a+b/4a-b已知3a^2-5ab-2b^2=0,求4a+b/4a-b已知3a^2-5ab-2b^2=0,求4a+b/4a-b3a^2-5ab-2b^2=0(

已知3a^2-5ab-2b^2=0,求4a+b/4a-b
已知3a^2-5ab-2b^2=0,求4a+b/4a-b

已知3a^2-5ab-2b^2=0,求4a+b/4a-b
3a^2-5ab-2b^2=0
(3a+b)(a-2b)=0
∴a=-b/3 a=2b
当a=-b/3时 (4a+b)/(4a-b)=1/7
当a=2b时 (4a+b)/(4a-b)=9/7

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3a^2-5ab-2b^2=0
(a-2b)(3a+b)=0
a-2b=0或3a+b=0
a=2b或b=-3a
所以,4a+b/4a-b=(4*2b +b) / (4*2b -b) =9/7
或者,4a+b/4a-b=(4a-3a)/(4a+3a) =1/7