已知x-y=6,xy=4,求(x+y)的平方

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已知x-y=6,xy=4,求(x+y)的平方
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已知x-y=6,xy=4,求(x+y)的平方
已知x-y=6,xy=4,求(x+y)的平方

已知x-y=6,xy=4,求(x+y)的平方
(x+y)²
=x²+y²+2xy
=x²+y²-2xy+4xy
=(x-y)²+4xy
=6²+16
=52


(x+y)²
=x²+y²+2xy
=(x-y)²+4xy
=6²+4*4
=36+16
=52

(x+y)^2=(x-y)^2-4xy=36-16=20

(x+y)^2=(x-y)^2+4xy=6^2+4*4=52

52

(x+y)^2=(x-y)^2+4xy=36+4*4=52

52

(x-y)²=x²+y²-2xy=36
x²+y²=44
(x+y)²=x²+y²+2xy=44+2x4=52

52