x < 6 or x > 6
The given inequality is:
x² + 36 > 12x
Subtract 12x from both sides of the inequality
x² + 36 - 12x > 12x - 12x
x² - 12x + 36 > 0
Factorize the expression on the left hand side
x² - 6x - 6x + 36 > 0
x(x - 6) -6(x - 6) > 0
(x - 6) (x - 6) > 0
(x - 6)² > 0
x - 6 > 0
x > 6
x - 6 < 0
x < 6
Therefore, the solution to the equality is x < 6 or x > 6
Learn more here: https://brainly.com/question/2237134
