If using the method of completing the square to solve the quadratic equation
x² -15x + 22 = 0, which number would have to be added to "complete the
square"?

Respuesta :

Answer:

56.25

Step-by-step explanation:

Hello!

To complete the square

  • we take the b-value
  • Divide it by 2
  • And square it

Complete the square:

  • [tex]x^2 - 15x + 22[/tex]
  • [tex]x^2 -15x + \frac{225}{4} + 22 = \frac{225}{4}[/tex]
  • [tex]x^2 - 15x + 56.25 + 22 = 56.25[/tex]

We add 56.25 to both sides.