Answer:
x = 4 ± 5i
Step-by-step explanation:
Just use the quadratic formula (ax²+bx+c=0) like you would for every other quadratic equation. Substitute i² for -1 when you get the square root of a negative number.
a = 1
b = -8
c = 41
Solution is x = (8 ± √(64-4·41)) / 2
x = 4 ± (√-100) / 2
x = 4 ± (√-25·4)/2
x = 4 ± √-25
x = 4 ± √(25i²)
x = 4 ± 5i
