题目内容
(2011•南京)解方程x2﹣4x+1=0.
解:(1)移项得,x2﹣4x=﹣1,
配方得,x2﹣4x+4=﹣1+4,
(x﹣2)2=3,
由此可得x﹣2=±
,
x1=2+
,x2=2﹣
;
(2)a=1,b=﹣4,c=1.
b2﹣4ac=(﹣4)2﹣4×1×1=12>0.
x=
=2±
,
x1=2+
,x2=2﹣
.
配方得,x2﹣4x+4=﹣1+4,
(x﹣2)2=3,
由此可得x﹣2=±
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x1=2+
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(2)a=1,b=﹣4,c=1.
b2﹣4ac=(﹣4)2﹣4×1×1=12>0.
x=
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x1=2+
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略
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