1-i/2+iGive the sum and the product of the roots of 6m^2-4m-9=0?

Question

1-i/2+iGive the sum and the product of the roots of 6m^2-4m-9=0

Answer 1

m = [ 4 ± √(16 - 216) ] / 12
m = [ 4 ± √(- 200) ] / 12
m = [ 4 ± √ ( 200 i ² ) ] / 12
m = [ 4 ± i 10√ 2 ] / 12
m = [ 2 ± i 5√ 2 ] / 6

Answer 2

6m^2-4m-9=0
m^2-(2/3)m-(3/2)=0

(m-a)(m-b) = m^2-(a+b)m+ab
Sum of roots = a+b = 2/3
Product of roots = ab = 3/2