Solve by using the perfect square method to x^2-12x+36=0

Answer 1

From the form x² + bx = k you can add (b/2)² to both sides then the left hand side will be a perfect square: x² + bx + b²/4 = k + b²/4 ---> (x + b/2)² = k + b²/4

However, the given trinomial is already a perfect square, and can be re-written as follows:

x² - 12x + 36 = 0

(x - 6)² = 0

Roots:

x = 6 with multiplicity 2 (it is a double root, which makes the graph a little flatter at x=6 than if it were a single root there)