等式X²+4X+1=2(1/2X²-MX-N)对一切X都成立,则M=_____,N=_______
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![等式X²+4X+1=2(1/2X²-MX-N)对一切X都成立,则M=_____,N=_______](/uploads/image/z/806160-48-0.jpg?t=%E7%AD%89%E5%BC%8FX%26%23178%3B%2B4X%2B1%3D2%EF%BC%881%2F2X%26%23178%3B-MX-N%EF%BC%89%E5%AF%B9%E4%B8%80%E5%88%87X%E9%83%BD%E6%88%90%E7%AB%8B%2C%E5%88%99M%3D_____%2CN%3D_______)
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等式X²+4X+1=2(1/2X²-MX-N)对一切X都成立,则M=_____,N=_______
等式X²+4X+1=2(1/2X²-MX-N)对一切X都成立,则M=_____,N=_______
等式X²+4X+1=2(1/2X²-MX-N)对一切X都成立,则M=_____,N=_______
x²+4x+1=2(1/2x²-Mx-N)=x²-2Mx-2N
所以4=-2M,1=-2N
故M=-2,N=-1/2
-2
-1/2