Find the 4th roots 6
Express 6 in the exponential form of (6*exp(2πin)), where n is an integertake the fourth root of this, remembering that taking the fourth root is taking to the power of 1/4, and by rules of indices the expression in the exponent must be divided by 4This gives (61/4 *exp(πin/2))Taking n = 0,1,2,3 gives four distinct roots, any larger n gives repeated roots
NP
Answered by Nishil P. • Further Mathematics tutor
4333 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Show that the set of real diagonal (n by n) matrices (with non-zero diagonal elements) represent a group under matrix multiplication
Find the eigenvalues for the matrix (4/2/3,2/7/0,-2/1/8)
Find the reflection of point P(2,4,-6) in the plane x-2y+z=6
Find the general solution to the differential equation y'' + 4y' + 3y = 6e^(2x) [where y' is dy/dx and y'' is d^2 y/ dx^2]