Question

Use the quadratic formula to find both solutions to the quadratic equation

given below.
3x2 - x + 4 = 0

Answer 1

`x = (1 + i√(47))/(6)` or
`x = (1 - i√(47))/(6)`

Explanation:

`x = (-b \pm √(b^2 - 4ac))/(2a)`

We have a = 3; b = -1; c = 4.

`x = (-(-1) \pm √((-1)^2 - 4(3)(4)))/(2(3))`

`x = (1 \pm √(1 - 48))/(6)`

`x = (1 \pm √(-47))/(6)`

`x = (1 + i√(47))/(6)` or
`x = (1 - i√(47))/(6)`