已知-7≤x<1,试化简:根号x²+14x+49-根号(1-x)²/1-x.
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已知-7≤x<1,试化简:根号x²+14x+49-根号(1-x)²/1-x.
![已知-7≤x<1,试化简:根号x²+14x+49-根号(1-x)²/1-x.](/uploads/image/z/19210934-38-4.jpg?t=%E5%B7%B2%E7%9F%A5-7%E2%89%A4x%EF%BC%9C1%2C%E8%AF%95%E5%8C%96%E7%AE%80%EF%BC%9A%E6%A0%B9%E5%8F%B7x%26%23178%3B%2B14x%2B49-%E6%A0%B9%E5%8F%B7%EF%BC%881-x%EF%BC%89%26%23178%3B%2F1-x.)
-7≤x0,
∴√(x²+14x+49)-[√(1-x)²]/(1-x)
=√(x+7)²-|1-x|/(1-x)
=(x+7)-(1-x)/(1-x)
=x+7-1
=x+6.
∴√(x²+14x+49)-[√(1-x)²]/(1-x)
=√(x+7)²-|1-x|/(1-x)
=(x+7)-(1-x)/(1-x)
=x+7-1
=x+6.
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