题目内容
已知m>0,n>0,且
•(
+
)=3
•(
+5
),求
的值.
| m |
| m |
| n |
| n |
| m |
| n |
8m-
| ||
2m+3
|
由
•(
+
)=3
•(
+5
),得
(
)2-2
-15(
)2=0,
即(
-5
)(
+3
)=0,
∵m>0,n>0,
∴m=25n,
=
=
=3.
| m |
| m |
| n |
| n |
| m |
| n |
(
| m |
| mn |
| n |
即(
| m |
| n |
| m |
| n |
∵m>0,n>0,
∴m=25n,
8m-
| ||
2m+3
|
200n-
| ||
50n+3
|
=
| 198n |
| 56n |
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