Question

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"?

Answer 1

56.25

Explanation:

Hello!

To complete the square

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

Complete the square:

• 
  `x^2 - 15x + 22`
• 
  `x^2 -15x + (225)/(4) + 22 = (225)/(4)`
• 
  `x^2 - 15x + 56.25 + 22 = 56.25`

We add 56.25 to both sides.