X^2-18x+67=0 Solve the quadratic equation by completing the square.

x = 9 ± √14

Step-by-step explanation:

x² - 18x + 67 = 0

Move the constant to the other side:

x² - 18x = - 67

Take half of - 18, square it, and add to both sides.

(-18/2) ² = (-9) ² = 81

x² - 18x + 81 = - 67 + 81

x² - 18x + 81 = 14

Factor the perfect square:

(x - 9) ² = 14

Solve for x:

x - 9 = ±√14

x = 9 ± √14