化简/X+3/X+1,其中x=3-根号2的值
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![化简/X+3/X+1,其中x=3-根号2的值](/uploads/image/z/440184-48-4.jpg?t=%E5%8C%96%E7%AE%80%2FX%2B3%2FX%2B1%2C%E5%85%B6%E4%B8%ADx%3D3-%E6%A0%B9%E5%8F%B72%E7%9A%84%E5%80%BC)
化简/X+3/X+1,其中x=3-根号2的值
化简
化简/X+3/X+1,其中x=3-根号2的值
x=3-√2
(x-1-8/(x+1))/[(x+3)/(x+1)]
=((x-1)(x+1)-8)/(x+1)/[(x+3)/(x+1)]
=(x²-1-8)/(x+3)
=(x²-9)/(x+3)
=(x²-3²)/(x+3)
=(x+3)(x-3)/(x+3)
=x-3=3-√2-3=-√2