m^2-7mn+6n^2=0,求3m/2n的值

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m^2-7mn+6n^2=0,求3m/2n的值m^2-7mn+6n^2=0,求3m/2n的值m^2-7mn+6n^2=0,求3m/2n的值把m²-7mn+6n²分解因式得到:m&#

m^2-7mn+6n^2=0,求3m/2n的值
m^2-7mn+6n^2=0,求3m/2n的值

m^2-7mn+6n^2=0,求3m/2n的值
把m²-7mn+6n²分解因式得到:m²-7mn+6n²=(m-n)(m-6n)
m²-7mn+6n²=0
(m-n)(m-6n)=0
m-n=0,m=n
m-6n=0,m=6n
所以3m/2n=3/2;
或3m/2n=9

∵m²-7mn﹢6n²=0
   ∴﹙m-n﹚﹙m-6n﹚=0
∴m-n=0 或 m-6n=0
∴m=n 或m=6n
∴3m/2n=3/2或9