Question

Find the values of p and q such that 4x-5-x^2=q-(x+p)^2

Answer 1

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1