Answer:
x = 3 + 7i or x = 3 - 7i; a = 3; b = 7
Step-by-step explanation:
x^2 - 6x = -58
We complete the square by adding the square of half of the coefficient of the x-term to both sides.
x^2 - 6x + 9 = -58 + 9
(x - 3)^2 = -49
[tex] x - 3 = \pm 7i [/tex]
x = 3 + 7i or x = 3 - 7i
a = 3; b = 7
