已知(X-Y)^2=625/36,X+Y=7/6,求XY的值
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已知(X-Y)^2=625/36,X+Y=7/6,求XY的值
已知(X-Y)^2=625/36,X+Y=7/6,求XY的值
已知(X-Y)^2=625/36,X+Y=7/6,求XY的值
(X-Y)^2=625/36
x^2-2xy+y^2=625/36
x+y=7/6
x^2+2xy+y^2=49/36
-
4xy=-576/36
xy= -4
(x+y)*(x+y)-(x-y)*(x-y)=4xy
即可解出。
有算的意义吗?
x=16/6
y=9/6
(x+y)^2=x^2+2xy+y^2=49/36
(x-y)^2=x^2-2xy+y^2=625/36
4xy=49/36-625/36=-576/36=-16
xy=-4
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