Determine the roots of the given polynomial

Question

Give exact answers. p(x)=3x^2-2x+7

Answer 1

3x^2 -2x +7

x = 2/6 +/- (1/6)sqr(4-4(3)(7))

= 1/3 +/-(i/6)sqr80

= 1/3 +/-(i/3)sqr20

= (i+1)(sqr20)/3 or (i-1)(sqr20)/3

two imaginary roots