The solution to 15 a2 - 1 = 5 2a - 2 is a =. The extraneous solution is a =.

Question

Iyana Rivers

Mathematics

18 August, 09:27

The solution to 15 a2 - 1 = 5 2a - 2 is a =. The extraneous solution is a =.

+3

Answers (1)

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Elise Russell · Answer 1

For this case the correct expression is:

15 / (a ^ 2 - 1) = 5 / (2a - 2)

Rewriting we have:

3 / (a ^ 2 - 1) = 1/2 (a - 1)

6 / (a ^ 2 - 1) = 1 / (a - 1)

6 (a - 1) = (a ^ 2 - 1)

6 (a - 1) = (a-1) (a + 1)

(a + 1) = 6

a = 6-1

a = 5

Answer:

The solution is:

a = 5