If and be the roots of the equation x^{2} − 2x + 2 = 0, then the least value of n for which = 1 is

If and be the roots of the equation x^{2} − 2x + 2 = 0, then the least value of n for which = 1 is

1 Answer

127 votes

x^{2} − 2x + 2 = 0

roots of this equation are

Then

or

So, i

Now, = 1 ⇒ = 1

⇒ n must be a multiple of 4.

minimum value of n = 4

127 votes

127