已知X+Y=4,XY=-12那么X^2+Y^2= X^2-XY+Y^2= (X-Y)^2=

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 06:31:28
已知X+Y=4,XY=-12那么X^2+Y^2= X^2-XY+Y^2= (X-Y)^2=

已知X+Y=4,XY=-12那么X^2+Y^2= X^2-XY+Y^2= (X-Y)^2=
已知X+Y=4,XY=-12那么X^2+Y^2= X^2-XY+Y^2= (X-Y)^2=

已知X+Y=4,XY=-12那么X^2+Y^2= X^2-XY+Y^2= (X-Y)^2=
已知X+Y=4,XY=-12那么X^2+Y^2= X^2-XY+Y^2= (X-Y)^2=
x^2+y^2=(x+y)^2-2xy=16-2*(-12)=40
X^2-XY+Y^2=(x-y)^2-3xy=16-(-12)=52
(x-y)^2=(x+y)^2-4xy=16-4(-12)=64

X^2+Y^2=(x+y)^2-2xy=16+24=40
X^2-XY+Y^2=(x+y)^2-3xy=16+36=52
(X-Y)^2=(x+y)^2-4xy=16+48=64

x^2+y^2=(x+y)^2-2xy=4^2-2*(-12)=40
x^2-xy+y^2=40-xy=52
(x-y)^2=x^2-2xy+y^2=40-2xy=64

不用那么复杂,设X=2 Y=-6
直接解出来不就好了.