Solve x² - 12x + 59 = 0 for x.

Solution:

Given x² - 12x + 59 = 0

Quadratic equations are second-degree algebraic expressions and are of the form ax² + bx + c = 0.

Here we use quadratic formula for finding roots of the equation

x = {-b ± √b² - 4ac}/2a

Here a = 1; b = -12; c = 59

x = {-(-12) ± √(-12)² - 4(59)}/2(1)

x = {12 ± √144 - 236}/2

x = {12 ± √-92}/2

x = 12 ± 9.6i /2

x = 6 ± 4.8i

Solve x² - 12x + 59 = 0 for x.

Summary:

The values of x are 6 ± 4.8i by solving x² - 12x + 59 = 0.