Solve for x in the equation x squared minus 8 x + 41 = 0.

x = - 4 ± √37 i

x = - 4 ± 5i

x = 4± √37 i

x = 4 ± 5i

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