Find aa and bb that make the equation true. verify your results.
a. a / x + 1 +b / x − 1 = 2 / x2 − 1
b. a / x + 3 + b / x + 2 = 2x − 1 / x2 + 5x + 6

a. A = -1 and B = 1

b. A = 7 and B = -5

Step-by-step explanation:

a.

To the equation be true, the "x-parts" and "nonx-parts" mist be the same, so:

Ax + Bx = 0

(A + B)x = 0

A + B = 0

A = -B

B - A = 2

B - (-B) = 2

2B = 2

B = 1  and A = -1

b.

To the equation be true, the "x-parts" and "nonx-parts" mist be the same, so:

Ax + Bx = 2x

(A + B)x = 2x

A + B = 2

A = 2 - B

2A + 3B = -1

2*(2-B) + 3B = -1

4 - 2B + 3B = -1

B = -5  and A = 2 - (-5) = 7

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent