Answers

2016-07-08T17:07:15+08:00
(k+1) / (k-3) = (4k-2) / (k+1)

Cross multiply and you get,

(k+1)^2 = (4k-2)(k-3)
k^2 + 2k + 1 = 4k^2 -14k + 6

Simplify and you get,

=3k^2 - 16k + 5

Now use quadratic equation,

-b±√ b^2 - 4ac / 2a

16
±√ -16^2 - 4(3)(5)    / 2(3)

16
±√ 256-60    / 6

16
±√ 196   / 6

16
±14  / 6

16 + 14  / 6 = 30/6 = 5

16 - 14  / 6 = 2/6 = 1/3

Therefore, k= 1/3 or k= 5
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