已知实数X.Y满足X^2+4XY+4Y^2+X+2Y-6=0 求(X+2Y)分之6的值

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已知实数X.Y满足X^2+4XY+4Y^2+X+2Y-6=0 求(X+2Y)分之6的值
已知实数X.Y满足X^2+4XY+4Y^2+X+2Y-6=0 求(X+2Y)分之6的值

已知实数X.Y满足X^2+4XY+4Y^2+X+2Y-6=0 求(X+2Y)分之6的值
x^2+4xy+4y^2+x+2y-6 =(x+2y)+(x+2y)-6 =[(x+2y)+3][(x+2y)-2]=0 得(x+2y)=-3或2 (x+2y)=-3时6/(x+2y)=-2 (x+2y)=2时6/(x+2y)=3