Find roots of x^6-×-1 ?

1 Answer
Jun 5, 2018

See roots below.

Explanation:

x^6-x-1 =0x6x1=0

This degree 6 polynomial will have 6 real and/or complex roots.

Using the online polynomial root solver: https://www.mathportal.org/calculators/solving-equations/polynomial-equation-solver.php

x_1 approx -0.77809x10.77809

x_2 approx 1.13472x21.13472

x_3 approx 0.45106+1.00236*ix30.45106+1.00236i

x_4 approx 0.45106-1.00236*ix40.451061.00236i

x_5 approx -0.62937+0.73576*ix50.62937+0.73576i

x_6 approx -0.62937-0.73576*ix60.629370.73576i