that satisfies a5 = b; b5 = c; c5 = d; ... ; y5 = z
If a = 2010, find the value of (x-a)(x-b)(x-c)...(x-z).
(Problem 2.) Find the value of cos(1) cos(2) cos(3) ... cos(2010).
Note: cosines are expressed in degrees, not radians.
(Problem 3.) x2 + x + 1 = 0 have two complex solutions, a and b.
Find the value of a(28081996+17081945) + b(24031995+1113636363636)
(Problem 4.) If x is a positive real number,
what is the minimum value of xx ?
Express the answer in terms of e (Euler's constant).