m方+2mn+2n方—6n+9=0,求m/n方的值.

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m方+2mn+2n方—6n+9=0,求m/n方的值.
m方+2mn+2n方—6n+9=0,求m/n方的值.

m方+2mn+2n方—6n+9=0,求m/n方的值.
m²+2mn+2n²-6n+9
=(m²+2mn+n²)+(n²-6n+9)
=(m+n)²+(n-3)²
=0
=>
m+n=0,n-3=0
m= -3,n=3
m/n²= -1/3

m方+2mn+2n方—6n+9=0
(m+n)方+(n-3)方=0
m=-n
n=3
m/n方=负(1/3)