Question

What are the complex solutions of 2x^2+x+6=0

Answer 1

2x² + x + 6 = 0
x = -(1) +/- √((1)² - 4(2)(6))
2(2)
x = -1 +/- √(1 - 48)
4
x = -1 +/- √(-47)
4
x = -1 +/- i√(47)
4
x = -1 + i√(47) x = -1 - i√(47)
4 4
x = -0.25 + 0.25i√(47) x = -0.25 - 0.25i√(47)

Answer 2

lets use quadratic formula:

x=
`(-1+- √(1-4*2*6) )/(4)= (-1+- √(-47) )/(4)= (-1+-i √(47) )/(4)`
x₁=
`(-1+i √(47) )/(4)`
x₂=
`(-1-i √(47) )/(4)`