题目内容
阅读下列材料:
=
(1-
),
=
(
-
),
=
(
-
),…
受此启发,请你解下面的方程:
+
+
=
.
| 1 |
| 1×3 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3×5 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 5×7 |
| 1 |
| 2 |
| 1 |
| 5 |
| 1 |
| 7 |
受此启发,请你解下面的方程:
| 1 |
| x(x+3) |
| 1 |
| (x+3)(x+6) |
| 1 |
| (x+6)(x+9) |
| 3 |
| 2x+18 |
| 1 |
| x(x+3) |
| 1 |
| (x+3)(x+6) |
| 1 |
| (x+6)(x+9) |
| 3 |
| 2x+18 |
| 1 |
| 3 |
| 1 |
| x |
| 1 |
| x+3 |
| 1 |
| 3 |
| 1 |
| x+3 |
| 1 |
| x+6 |
| 1 |
| 3 |
| 1 |
| x+6 |
| 1 |
| x+9 |
| 3 |
| 2x+18 |
| 1 |
| 3 |
| 1 |
| x |
| 1 |
| x+9 |
| 3 |
| 2x+18 |
2(x+9)-2x=9x,
解得x=2.
经检验:x=2是原方程的解.
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