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
3917 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Unfortunately this box is to small to contain the question so please see the first paragraph of the answer box for the question.
The cubic equation 27(z^3) + k(z^2) + 4 = 0 has roots α, β and γ. In the case where β=γ, find the roots of the equation and determine the value of k
Find the first three non-zero terms of the Taylor series for f(x) = tan(x).
Integrate cos(log(x)) dx