Question

16/k^2=24+(8/k)
Solve it for k

Answer 1

$16/k^2 = 24 + (8/k)$

$16/k^2 = (24k + 8)/k$

$16/k = 24k + 8$

$16 = 24k^2 + 8k$

$0 = 24k^2 + 8k - 16$

$0 = 6k^2 + 2k - 4$

$0 = 6k^2 + (6 - 4)k - 4$

$0 = 6k^2 + 6k - 4k - 4$

$0 = 6k( k + 1) -4(k + 1)$

$0 = (k + 1)(6k -4)$


k = -1  or  k = 4/6 = 2/3





i hope this will help you


(-:

Answer 2

Heya !!!



16/ K² = 24 + (8/K)




=> 16/ K² = (24K + 8 )/ K




=> 16K/K² = 24K +8




=> 16/K = 24K +8


=> 16 = K ( 24K +8)




=> 24K² + 8K -16 = 0



=> 4 ( 6K² + 2K -4) = 0



=> 6K² + 2K -4 = 0



=> 6K² + 6X -4K -4 = 0




=> 6K ( K +1) - 4 ( K+1) = 0



=> ( K+1) ( 6K -4) = 0



=> ( K+1) = 0 OR ( 6K -4) = 0



=> K = -1 OR K = 4/6 = 2/3








HOPE IT WILL HELP YOU....... :-)