Rewrite the equation x^2-4x+9=5 in the form (x-p) ^2=q

(x - 2) ² = 0

Step-by-step explanation:

given x² - 4x + 9 = 5 (subtract 5 from both sides)

x² - 4x + 4 = 0

This is a perfect square of the form

(x - a) ² = x² - 2a + a²

compare coefficients of the x-term

- 2a = - 4 ⇒ a = 2

⇒ (x - 2) ² = 0 ← is the required form