Question

can anyone pls give me difficult grade 10 question to solve?

Answer 1

I know a very good link to look for that! http://openstudy.com/users/foolformath hahahaha

Answer 2

thanks @igbasallote

Answer 3

prove that the sum of n roots of unity is equal to 0.

Answer 4

fool for math failed to solve it

Answer 5

@myko
Let ε0 = 1, ..., εN-1 be the vertices of a regular N-gon inscribed on the unit circle. Show that the sum of all εk, k = 0, ..., N-1, equals zero.
After a suitable adjustment (rotation) of the axes, the vertices of a regular N-gon inscribed in a unit circle can be identified with the Nth roots of unity, so that εk = e2πk·i/N. Thus we are looking into the value of the sum

∑ = ∑ εk = ∑ e2πk·i/N,
k = 0, ..., N - 1.

In [Trigg, #213] the problem is posed a little differently: Prove that the sum of all vectors from the center of a regular n-gon to its vertices is zero.

Answer 6

this is just a statment of the problem, you copied the wrong thing, :)

Answer 7

copie the proof