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
4255 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Find roots 'a' and 'b' of the quadratic equation 2(x^2) + 6x + 7 = 0
The finite region bounded by the x-axis, the curve with equation y = 2e^2x , the y-axis and the line x = 1 is rotated through one complete revolution about the x-axis to form a uniform solid. Show that the volume of the solid is 2π(e^2 – 1)
Show that the set of real diagonal (n by n) matrices (with non-zero diagonal elements) represent a group under matrix multiplication
Given that abc = -37 + 36i; b = -2 + 3i; c = 1 + 2i, what is a?