Solve for x in the equation x ^ 2 - 12x + 59 = 0

Answer: x = 6 ± √23i

x = 6 ± i√23

Step-by-step explanation:

x² - 12x + 59 = 0

Use quadratic formula.

x = [ - b ± √ (b² - 4ac) ] / 2a

x = [ - (-12) ± √ ((-12) ² - 4 (1) (59)) ] / 2 (1)

x = [ 12 ± √ (144 - 236) ] / 2

x = (12 ± √-92) / 2

x = (12 ± 2i√23) / 2

x = 6 ± i√23