Question

Enter the correct answer in the box. What are the solutions of this quadratic equation?

Answer 1

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

$x - 3 = \pm 7i$

x = 3 + 7i   or   x = 3 - 7i

a = 3; b = 7