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
4140 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Find the inverse of a 3x3 matrix
Prove that 1+4+9+...+n^2 = n(n+1)(2n+1)/6.
The ODE mx'' + cx' + kx = 0 is used to model a damped mass-spring system, where m is the mass, c is the damping constant and k is the spring constant. Describe and explain the behaviour of the system for the cases: (a) c^2>4mk; (b) c^2=4mk; (c) c^2<4mk.
Find the complementary function to the second order differential equation d^2y/dx^2 - 5dy/dx + 6x = x^2