已知x+y=3,xy=-10,求(1)x^2-xy=y^2;(2)|x-y|

已知x+y=3,xy=-10,求(1)x^2-xy=y^2;(2)|x-y|

1、
(x+y)^2=3^2
x^2+2xy+y^2=9
兩邊减去3xy=-30
x^2-xy+y^2=9+30=39
2、
(x-y)^2
=x^2-2xy+y^2
=(x^2-xy+y^2)-xy
=39+10
=49
所以|x-y|=7