Question

Solve x^(2)-12x+52=0 using the quadratic formula

Answer 1

x = 6 ± 4i

Explanation:

x² - 12x + 52 = 0

a = 1, b = -12, c = 52

x = [-(-12) ±√(-12)² - 4(1)(52)] / 2(1)

= 12 ± (√144 - 208) / 2

= 12 ± √-64 / 2

= 12/2 ± 8i/2

Final answer: 6 ± 4i