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](/uploads/image/z/6913703-47-3.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0X.Y%E6%BB%A1%E8%B6%B3X%5E2%2B4XY%2B4Y%5E2%2BX%2B2Y-6%3D0+%E6%B1%82%28X%2B2Y%29%E5%88%86%E4%B9%8B6%E7%9A%84%E5%80%BC)
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