题目内容
已知a-
=
,试求a+
的值.
| 1 |
| a |
| 8 |
| 3 |
| 1 |
| a |
对式子a-
=
两边平方得,
a2+
-2=
,
∴a2+
=
,
∴(a+
)2=a2+
+2,
=
+2,
=
,
∴a+
=±
.
| 1 |
| a |
| 8 |
| 3 |
a2+
| 1 |
| a2 |
| 64 |
| 9 |
∴a2+
| 1 |
| a2 |
| 82 |
| 9 |
∴(a+
| 1 |
| a |
| 1 |
| a2 |
=
| 82 |
| 9 |
=
| 100 |
| 9 |
∴a+
| 1 |
| a |
| 10 |
| 3 |
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