如果x+y=6,xy=7,那么x²+y²= ,(x-y)²=

问题描述:

如果x+y=6,xy=7,那么x²+y²= ,(x-y)²=

x²+y²=(X+Y)²-2XY =6²-2×7 =36-14 =22
(x-y)²=x²+y²-2XY=22-14=8

果x+y=6,xy=7,
那么x²+y²= (x+y)^2-2xy=22
(x-y)²=22-2xy=8

x+y=6 xy=7===> (x+y)²=6²=36===> x²+y²+2xy=36===> x²+y²+2*7=36===> x²+y²=22(x-y)²=(x+y)²-4xy=6²-4×7=36-28=8

x²+y²
=(x+y)²-2xy
=6²-2*7
=36-14
=22
(x-y)²
=x²+y²-2xy
=22-2*7
=22-14
=8