> 数学 >
①已知x=2-
10
,求代数式x2-4x-10的值
②用配方法解方程:2x2-8x-1=0.
人气:450 ℃ 时间:2020-05-18 15:12:46
解答
①∵x=2-
10

∴x2-4x-10,
=x2-4x+4-14,
=(x-2)2-14,
=(2-
10
-2)2-14,
=10-14,
=-4,
②2x2-8x-1=0,
x2-4x-
1
2
=0,
x2-4x=
1
2

x2-4x+4=
1
2
+4,
(x-2)2=
9
2

x-2=±
3
2
2

x=2±
3
2
2

x1=2+
3
2
2
,x2=2-
3
2
2
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