已知X+Y=3,XY=-12,求下列各式的值,①X^2+Y^2②X^2-XY+Y^2
问题描述:
已知X+Y=3,XY=-12,求下列各式的值,①X^2+Y^2②X^2-XY+Y^2
答
,①X^2+Y^2
=(x+y)²-2xy
=3²-2×(-12)
=33
②X^2-XY+Y^2
=33-(-12)
=45