Question

What is the value of A and B

Answer 1

a = 3 & b = -10

Explanation:

(X - 5)^2 + a = X^2 +bX + 28

Solving the left hand side

(X - 5)^2 + a

= (X - 5)(X - 5) + a

= X^2 - 5X - 5X + 25 + a

= X^2 - 10X + 25 + a

Equating the the right hand side

X^2 - 10X + 25 + a = X^2 +bX + 28

: -10X = bX

X = -10 and

25 + a = 28

a = 28 - 25

a = 3