Please help me solve each equation by completing the square. Give exact solutions. Show your work please?

Question

how do you solve x^2+18=9x

Answer 1

x² + 18 = 9x
x² - 9x = -18
x² - 9x + (9/2)² = -18 + (9/2)²
(x - 9/2)² = 81/4 - 72/4 = 9/4
x - 9/2 = ±3/2
x = 9/2 + 3/2 = 12/2 = 6 .... or
x = 9/2 - 3/2 = 6/2 = 3

Answer 2

Oooh! I love these problems!

X^2 + 18 = 9X

X^2 - 9X + 18 = 0

(X - 3)(X - 6) = 0

So thus,
X = 3; X = 6