已知(X+Y)^2=1,(X-Y)^2=49,求X^2+Y^2与X*Y的值
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已知(X+Y)^2=1,(X-Y)^2=49,求X^2+Y^2与X*Y的值
已知(X+Y)^2=1,(X-Y)^2=49,求X^2+Y^2与X*Y的值
已知(X+Y)^2=1,(X-Y)^2=49,求X^2+Y^2与X*Y的值
(X+Y)^2=1,
(X-Y)^2=49
所以X^2+Y^2=1/2[(X+Y)^2+(X-Y)^2]=1/2(1+49)=25
X*Y=1/4[(X+Y)^2-(X-Y)^2]=1/4(1-49)=-12
25,-12
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