Question

Dfor eqn x2-x+1=0 roots are a nd b the find a^101+ b^107

Answer 1

First of all this equation has no rational roots
Roots are

$a = \frac{1 + \sqrt{3} }{2}$
$b \: = \: \frac{1 - \sqrt{3} }{2}$
let a^101 =Q
b^107=W

ANSWER IS Q+W