Question

Find values of a and b that make the following equality into identity:

Answer 1

a = -2/5 and b = 2/5.

Explanation:

Multiply each term by (x + 3)(x - 2) :

2 ≡ a(x - 2) + b(x + 3)

Let x = 2:

2 ≡ 0 + 2b + 3b

b = 2/5.

Let x = -3:

2 ≡ a(-3-2) + 0

a = -2/5