Question

Solve the following equation and check the solution. (k)/(k+3)=(2)/(k-3)

Answer 1

Explanation:

`(k)/(k + 3) = (2)/(k - 3)`

`k(k - 3) = 2(k + 3)`

`{k}^(2) - 3k = 2k + 6`

`{k}^(2) - 5k - 6`

`{k}^(2) + k - 6k - 6`

`k(k + 1) - 6(k + 1)`

`(k - 6)(k + 1)`

`therefore \: k1 = 6 \: and \: k2 = - 1`

You can check it yourself.