Question

16/k² -8/k=24 find the value of k

Answer 1

Answer:

→ k = -1 or 2/3

Step-by-step explanation:

We have

→ 16/k² - 8/k = 24

→ (16 - 8k)/k² = 24

→ 24k² + 8k - 16 = 0

→ 8(3k² + k - 2) = 0

→ 3k² +k - 2= 0

Splitting the middle term

→ 3k² + 3k - 2k - 2 = 0

→ 3k(k+1) - 2(k+1) = 0

→ (k+1) (3k-2) = 0

Case (1) if -

→ k + 1 = 0

→ k = -1

Case (2) if -

→ 3k - 2 = 0

→ k = 2/3

Answer 2

Answer:

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