Solve for the roots in the simplest form using the quadratic formula: x^2+118=20x

x = 10 + 3sqrt (2) i, x = 10 - 3sqrt (2) i

Step-by-step explanation:

x² - 20x + 118 = 0

Using quadratic formula:

x = [ - (-20) + / - sqrt[20² - 4 (1) (118) ]/2

x = [20 + / - sqrt (-72) ]/2

x = [20 + / - i6sqrt (2) ]/2

x = 10 + / - i3sqrt (2)

x = 10 + / - 3sqrt (2) i