题目内容
已知x+
=4,不求x的值,求下列各式的值:
(1)x2+
(2)(x-
)2.
| 1 |
| x |
(1)x2+
| 1 |
| x2 |
(2)(x-
| 1 |
| x |
(1)x2+
=x2+2x•
+
-2x•
=(x+
)2-2
=42-2
=14;
(2)(x-
)2
=x2-2x•
+
=x2+2x•
+
-4x•
=(x+
)2-4
=16-4
=12.
| 1 |
| x2 |
| 1 |
| x |
| 1 |
| x2 |
| 1 |
| x |
=(x+
| 1 |
| x |
=42-2
=14;
(2)(x-
| 1 |
| x |
=x2-2x•
| 1 |
| x |
| 1 |
| x2 |
=x2+2x•
| 1 |
| x |
| 1 |
| x2 |
| 1 |
| x |
=(x+
| 1 |
| x |
=16-4
=12.
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