已知x+y=17,xy=60,求x²+y²和（x-y）²的值要过程的!

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已知x+y=17,xy=60,求x²+y²和（x-y）²的值要过程的!已知x+y=17,xy=60,求x²+y²和（x-y）²的值要过程的!

已知x+y=17,xy=60,求x²+y²和（x-y）²的值要过程的!
已知x+y=17,xy=60,求x²+y²和（x-y）²的值要过程的!

已知x+y=17,xy=60,求x²+y²和（x-y）²的值要过程的!
x^2+y^2=(x+y)^2-2xy=17^2-2*60=169
(x-y)^2=x^2+y^2-2xy=169-2*60=49

x2+y2=(x+y)2-2xy
(x-y)2=(x+y)2-4xy

x+y=17，xy=60
x^2+y^2=(x+y)^2-2xy=17^2-2*60=169
(x-y)^2=x^2+y^2-2xy=169-2*60=49

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