The square of a number is 12 more than four times the number?

X^2 = 4x + 12

x^2 - 4x - 12 = 0, use the quadratic equation

Solve for x over the real numbers:

(x - 6) (x + 2) = 0

Split into two equations:

x - 6 = 0 or x + 2 = 0

Add 6 to both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 (or x = - 2 only positive solution)