1. 解方程：7(7(7(7(7(7(3x–3)–3)–3)–3)–3)–3)–3 = 3x/7
2. 解方程：20/(12+20/(12+20/(12+x))) = x
簡單迭代方程求解
2012-12-14 1:53 am
回答 (2)
2012-12-14 3:11 am
✔ 最佳答案
1.7(7(7(7(7(7(3x - 3) - 3) - 3) - 3) - 3) - 3) - 3 = 3x/7
i.e.
3x/7 = 3x - 3
x = 7x - 7
-6x = -7
x = 7/6
2.
20/(12 + 20/(12 + 20/(12 + x))) = x
i.e.
x = 20/(12 + x)
x(12 + x) = 20
x^2 + 12x - 20 = 0
(x + 6)^2 = 20 + 36 = 56
x + 6 = +/- 2(14)^(1/2)
x = -6 +/- 2(14)^(1/2)
參考: 自己
2012-12-22 7:55 pm
1. 7(7(7(7(7(7(3x–3)–3)–3)–3)–3)–3)–3 = 3x/7
2470629x–2882397 = 3x
x=823543x-960799
823542x=960799
x=1/1/6
=1.17(to 3 sig fig)
2470629x–2882397 = 3x
x=823543x-960799
823542x=960799
x=1/1/6
=1.17(to 3 sig fig)
收錄日期: 2021-04-13 19:11:04
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