cambam49 cambam49
  • 20-12-2018
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 20-12-2018

Answer:

(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


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