Answer: -1
-0.309 ± j0.951
0.809 ± j0.588
Answer: This can easily be solved in polar coordinates.
-1 is 1, at an angle of 180 degrees. The fifth root of that is 1, at an angle of 180/5, or 36 degrees. To get additional roots, add (360/5) = 72 degrees at a time, to the angle. Use your scientific calculator's function to convert polar to rectangular, if you want to separate the real and the imaginary parts.
The number 243 can be expressed as (3^5). When finding the fifth roots of a number, we consider the equation (x^5 = 243). In the complex number system, any non-zero number has five distinct fifth roots, so 243 has a total of five fifth roots, which are evenly spaced on the complex plane.
five and one fifth = 5 1/5
A fifth-degree polynomial function will have exactly five roots, counting multiplicities. This means that some of the roots may be repeated or complex, but the total number of roots, including these repetitions, will always equal five. If the polynomial has real coefficients, some of the roots may also be non-real complex numbers, which occur in conjugate pairs.
Five.
Roots - 1977 Part Five 1-5 was released on: USA: 1977
11.11%
Roots - 1977 Part Five 1-5 is rated/received certificates of: Australia:M
it equals five over one
To find the fifth roots of 4 + 3i, first convert the number to polar form: 4 + 3i = 5∠36.87°. Then, to find the fifth roots, divide the angle by 5: 36.87° / 5 = 7.374°. The fifth roots in polar form are 5∠7.374°, 5∠67.374°, 5∠127.374°, 5∠187.374°, and 5∠247.374°.
1/5
1/5 of 45 is 9
1/125