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# Find K...MATH?

If k = (x + 3)/(x - 4) and

k^2 - 3k = 28, find k.

### 2 Answers

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- mizooLv 75 months agoFavorite Answer
k^2 - 3k = 28

k^2 - 3k - 28 = 0

(k - 7)(k + 4) = 0

k = -4, 7

and if you're asked to find x:

k = -4:

-4 = (x + 3)/(x - 4)

-4(x - 4) = x + 3

-4x + 16 = x + 3

16 - 3 = x + 4x

13 = 5x

x = 13/5

k: 7

7 = (x + 3)/(x - 4)

7(x - 4) = x + 3

7x - 28 = x + 3

7x - x = 3 + 28

x = 31/6

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