(2000•金華)(1)計算:
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(2)解方程組:
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.
【答案】
分析:(1)把
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化簡后直接計算.
(2)先把①代入②再用平方法求解.
解答:解:(1)原式=(
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-4
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-
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)•2
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+5
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=(-3
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-
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)•2
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+5
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=-18-6
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+5
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=-18-
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.
(2)把①代入②得,-2
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=1-x,
兩邊平方,得4(x+2)=(1-x)
2,即x
2-6x-7=0,
解得x=7或x=-1,
把x=7代入原方程得,左邊=-2
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=-6,右邊=1-7=-6,原方程成立;
把x=-1代入原方程得,左邊=-2
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=-2,右邊=1+1=2,原方程不成立;
故x=-1是原方程的增根,∴x=7,
代入②得y=3,
故原方程組的解為
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.
點評:(1)在進行二次根式的計算時,要先把二次根式化為最簡二次根式,然后再計算;
(2)先把①代入②再用平方法求解.
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