Civil Engineering Reference
In-Depth Information
Table 1.18.
Example 1.14 Graeffe's root squaring method—real and
distinct roots
m
x
4
a
1
x
3
a
2
x
2
a
3
x
a
4
x
0
cycle
1
1
35
24
1
−10
−50
1
100
1225
2500
576
−70
−1000
−1680
48
2
1
30
273
820
576
2
1
900
74529
672400
331776
−546
−49200
−314496
1152
4
1
354
26481
357904
331776
3
1
1.253E+05
7.012E+08
1.281E+11
1.101E+11
−5.296E+04
−2.534E+08
−1.757E+10
6.636E+05
8
1
7.235E+04
4.485E+08
1.105E+11
1.101E+11
4
1
5.235E+09
2.012E+17
1.222E+22
1.212E+22
−8.970E+08
−1.599E+16
−9.874E+19
2.202E+11
16
1
4.338E+09
1.852E+17
1.212E+22
1.212E+22
5
1
1.882E+19
3.429E+34
1.468E+44
1.468E+44
−3.703E+17
−1.051E+32
−4.487E+39
2.423E+22
32
1
1.845E+19
3.418E+34
1.468E+44
1.468E+44
6
1
3.404E+38
1.168E+69
2.155E+88
2.155E+88
−6.836E+34
−5.417E+63
−1.004E+79
2.936E+44
64
1
3.403E+38
1.168E+69
2.155E+88
2.155E+88
7
1
1.158E+77
1.365E+138
4.646E+176
4.646E+176
−2.337E+69
−1.467E+127
−5.037E+157
4.311E+88
128
1
1.158E+77
1.365E+138
4.646E+176
4.646E+176
8
r
4
3
2
1
