Question

In order to answer the question correctly, please use the following image below:

Answer 1

Answer:

2

Step-by-step explanation:

Tangents are equal in length

2c² + 9c + 6 = 9c + 14

2c² = 8

c² = 4

c = +/- 2

c can't be -2 because

9c + 14 = -4 < 0

So, c = 2

Answer 2

Answer:

C = 2

Step-by-step explanation:

9c + 14 = 2c^2 + 9c + 6

-9c                     -9c

14 = 2c² + 6

-6           -6

8 = 2c²

4 = c²

c = 2