Question

Solve x2 + 19 = 8x using the completing-the-square method.

Answer 1

x = 4 ± i√3

Explanation:

x² + 19 = 8x

x² - 8x = -19

x² - 8x + 16 = -3

(x - 4)² = -3

x - 4 = √-3

x = 4 ± i√3