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
4037 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸The function f is defined for x > 0 by f (x) = x^1n x. Obtain an expression for f ′ (x).
explain the eigenvalue problem
How can I find the explicit formula for the inverse of sinh?
Using the substitution u = ln(x), find the general solution of the differential equation y = x^2*(d^2(y)/dx^2) + x(dy/dx) + y = 0