题目内容
解方程、计算题
(1)x2-4x-5=0(配方法)
(2)4x2-4
x+5=0(公式法)
(3)(x-1)(x+2)=4
(4)计算:0.25-(cos60°)-2-(
-1)0+tan60°.
(1)x2-4x-5=0(配方法)
(2)4x2-4
| 5 |
(3)(x-1)(x+2)=4
(4)计算:0.25-(cos60°)-2-(
| 3 |
(1)移项得:x2-4x=5,
配方得:x2-4x+4=5+4,
即(x-2)2=9,
开方得:x-2=±3,
解得:x1=5,x2=-1;
(2)4x2-4
x+5=0,
∵b2-4ac=(4
)2-4×4×5=0,
∴x=
,
即x1=x2=
;
(3)(x-1)(x+2)=4
整理得:x2+x-6=0,
(x+3)(x-2)=0,
x+3=0,x-2=0,
解得:x1=-3,x2=2;
(4)原式=
×(
)-2-1+
=
×4-1+
=1-1+
=
.
配方得:x2-4x+4=5+4,
即(x-2)2=9,
开方得:x-2=±3,
解得:x1=5,x2=-1;
(2)4x2-4
| 5 |
∵b2-4ac=(4
| 5 |
∴x=
4
| ||||
| 2×4 |
即x1=x2=
| ||
| 2 |
(3)(x-1)(x+2)=4
整理得:x2+x-6=0,
(x+3)(x-2)=0,
x+3=0,x-2=0,
解得:x1=-3,x2=2;
(4)原式=
| 1 |
| 4 |
| 1 |
| 2 |
| 3 |
=
| 1 |
| 4 |
| 3 |
=1-1+
| 3 |
=
| 3 |
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