Question

用二分法求方程x2－x－1＝0的正根，传递误差小于0.05.

Answer 1

n a (a+b)/2 b a^2-b-1 x^2-x-1 a^2-b-1
1 0.000000 2.500000 5.000000 -1.000000 2.750000 19.000000
2 0.000000 1.250000 2.500000 -1.000000 -0.687500 2.750000
3 1.250000 1.875000 2.500000 -0.687500 0.640625 2.750000
4 1.250000 1.562500 1.875000 -0.687500 -0.121094 0.640625
5 1.562500 1.718750 1.875000 -0.121094 0.235352 0.640625
6 1.562500 1.640625 1.718750 -0.121094 0.051025 0.235352
7 1.562500 1.601563 1.640625 -0.121094 -0.036560 0.051025
8 1.601563 1.621094 1.640625 -0.036560 0.006851 0.051025
9 1.601563 1.611328 1.621094 -0.036560 -0.014950 0.006851
10 1.611328 1.616211 1.621094 -0.014950 -0.004073 0.006851
11 1.616211 1.618652 1.621094 -0.004073 0.001383 0.006851
12 1.616211 1.617432 1.618652 -0.004073 -0.001347 0.001383
13 1.617432 1.618042 1.618652 -0.001347 0.000018 0.001383
14 1.617432 1.617737 1.618042 -0.001347 -0.000664 0.000018
15 1.617737 1.617889 1.618042 -0.000664 -0.000323 0.000018
16 1.617889 1.617966 1.618042 -0.000323 -0.000153 0.000018
17 1.617966 1.618004 1.618042 -0.000153 -0.000067 0.000018
18 1.618004 1.618023 1.618042 -0.000067 -0.000025 0.000018
19 1.618023 1.618032 1.618042 -0.000025 -0.000003 0.000018
20 1.618032 1.618037 1.618042 -0.000003 0.000007 0.000018
21 1.618032 1.618035 1.618037 -0.000003 0.000002 0.000007
22 1.618032 1.618034 1.618035 -0.000003 -0.000001 0.000002
23 1.618034 1.618034 1.618035 -0.000001 0.000001 0.000002
24 1.618034 1.618034 1.618034 -0.000001 0.000000 0.000001

Answer 2

1