Question

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

Answer 1

(x - 2)² = 0

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