Answer:
The solution is a = 5
The extraneous solution is a = 1
Explanation:
The solution to the equation is obtained as follows:
15/(a² - 1) = 5/(2*a - 2)
3/(a² - 1) = 1/(2*a - 2)
3*(2*a - 2) = (a² - 1)
6*a - 6 = a² - 1
0 = a² - 6*a + 5
which can be solved with the quadratic formula:







The first one is the solution to the problem. The second one is extraneous because make the denominators of the original equation equal to zero, that is, replacing a = 1 in a² - 1 = 0 and in 2*a - 2 = 0.