Question

0 = 5x2 - 2x + 6

x= 1 +/- 3i/2
x=1 +/- (square root 11) /5
x=1 +/- i (square root 29) /5

Answer 1

Last option

Explanation:

Since we can't factor out the quadratic, we need to use quadratic formula to solve this:
`x = (-b +/- √(b^2 - 4ac) )/(2a)`

a = 5

b = -2

c = 6

`x = (2 +/- √((-2)^2 - 4(5)(6)) )/(2(5))`

`x = (2 +/- √(4 - 120) )/(10)`

`x = (2 +/- √(-116) )/(10)`

`x = (2 +/- 2i√(29) )/(10)`

`x = (1 +/- i√(29) )/(5)`