题目内容
计算或解方程:
(1)x2+3x-4=0;
(2)3(x-5)2=2(5-x);
(3)tan60°-
+(
)-1+(-2009)0;
(4)6tan230°-
sin60°-2sin45°.
(1)x2+3x-4=0;
(2)3(x-5)2=2(5-x);
(3)tan60°-
| 3 | ||
|
| 1 |
| 2 |
(4)6tan230°-
| 3 |
(1)原方程可化为:(x-1)(x+4)=0,
∴x-1=0或x+4=0,
x1=1,x2=-4;
(2)原方程可化为:3(x-5)2+2(x-5)=0,
(x-5)(3x-15+2)=0,
∴x-5=0或3x-13=0,
x1=5,x2=
;
(3)原式=
-
+2+1=3;
(4)原式=6×(
)2-
×
-2×
=
-
.
∴x-1=0或x+4=0,
x1=1,x2=-4;
(2)原方程可化为:3(x-5)2+2(x-5)=0,
(x-5)(3x-15+2)=0,
∴x-5=0或3x-13=0,
x1=5,x2=
| 13 |
| 3 |
(3)原式=
| 3 |
| 3 |
(4)原式=6×(
| ||
| 3 |
| 3 |
| ||
| 2 |
| ||
| 2 |
=
| 1 |
| 2 |
| 2 |
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