Question

X²- 12x + a = (x-b)²
Find the Value of a and value of b
​

Answer 1

a = 36 , b = 6

Explanation:

expand the right side using FOIL and compare coefficients with like terms on left side.

(x - b)²

= x² - 2bx + b² , compare to x² - 12x + a , then

- 2b = - 12 ( divide both sides by - 2 )

b = 6

and a = b² = 6² = 36