Question

(-4/k) ^2=24+2(4/k). Find k​

Answer 1

Step-by-step explanation:

(-4/k)² = 24 + 2(4/k)

16/k² = 24 + 8/k

16 = 24k² + 8k

2 = 3k² + k

3k² + k - 2 = 0

3k² + 3k - 2k - 2 = 0

3k ( k+1) - 2(k+1) = 0

(3k - 2) ( k + 1) = 0

k = 2/3 , -1