Question

solve k-4=3/k answer this qur​

Answer 1

Answer:

$k - 4 = \frac{3}{k } \\ = > k = \frac{3}{k } + 4 \\ = > k = \frac{3 + 4k}{k} \\ = > {k}^{2} = 3 + 4k \\ = > {k}^{2} - 4k - 3 = 0 \\ = > {k}^{2} - 3k - 1k - 3 = 0 \\ = > k(k - 3) - 1(k - 3) = 0 \\ = > (k - 1)(k - 3) = 0 \\ \\ \\ (k - 1) = 0 \\ = > k = 1 \\ \\ \\ (k - 3) = 0 \\ = > k = 3$

Hence the value of k are 1 , 3.