Determine the solution for x^2 + 36 > 12x

(6, ∞)

(-∞, 6)

Step-by-step explanation:

x^2 + 36 > 12x

Subtract 12 x from each side

x^2 - 12 x + 36 > 12x-12x

x^2 - 12 x + 36 > 0

Factor

What 2 numbers multiply together to give us 36 and add together to give us 12

-6*-6 = 36

-6+-6 = 12

(x-6) ^2 > 0

Take the square root of each side

x-6 >0 or x-6 <0

x>6 or x < 6