已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=y
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已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=y已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=y已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=yX=6-
已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=y
已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=y
已知实数x,y,z满足x=6-y,z^2=xy-9,求证:x=y
X=6-Y,--(1)
Z^2=XY-9--(2)
1代入2得:
Z^2=6Y-Y^2-9
Z^2+(Y^2-6Y+9)=0
Z^2+(Y-3)^2=0
因为Z^2大于等于0,(Y-3)^2大于等于0
所以..
Z^2=0 (Y-3)^2=0
Z=0 Y=3 X=3
所以x=y=3得证
条件不足吧?
反正法:
x=y 则 x=y=3 xy-9=0 z^2=0 ???
z 和x y 什么关系?
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