m方+2mn+2n方—6n+9=0,求m/n方的值.

问题描述:

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