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