Question

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

Answer 1

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

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