x^6-2x-1=0求解 5
f(x)=x^6-2x-1
f(0)=-1
f(-1)=2
(-1, 0)内有实根
f(1)=-2
f(2)=64-4-1=59
(1,2)内有实根
x=0.5(x^6-1): 迭代格式
x0=-0.75
x1=-0.4110107421875
x1=-0.49758960043175334002508020516861
x1=-0.49283233501436354370287415938882
x1=-0.49283584174527968261845105931798
x1=-0.49283553588196236627038290804485
x1=-0.492835562560338933209416280065
x1=-0.49283556023336891758245262373436
第一个近似解x1≈-0.492835560，误差<10^(-8)
x=(1+2x)^(1/6)
2. x0=1.05
x2=1.2075180064192465809914615807611
1.2271544162304087381697596202552
1.2294952649322425748948111056274
1.2297728350230249735553230636138
1.2298057275996534864254444559692
1.2298096251402066966911781367371
1.2298100869674425784110240644329
1.2298101416902014385031799059924
1.2298101481744010092498629711234
1.2298101489427256392432351310421
得到第二个近似解：x2=1.2298101489,
误差<10^(-9)
3. 最后得到两个实根：
x1=-0.492835560
x2=1.2298101489
此外还有两对共轭复根。
