12/k=24k

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Solution for 12/k=24k equation: 


D( k )

k = 0

k = 0

k = 0

k in (-oo:0) U (0:+oo)

12/k = 24*k // - 24*k

12/k-(24*k) = 0

12/k-24*k = 0

12*k^-1-24*k^1 = 0

(12*k^0-24*k^2)/(k^1) = 0 // * k^2

k^1*(12*k^0-24*k^2) = 0

k^1

12-24*k^2 = 0

12-24*k^2 = 0

DELTA = 0^2-(-24*4*12)

DELTA = 1152

DELTA > 0

k = (1152^(1/2)+0)/(-24*2) or k = (0-1152^(1/2))/(-24*2)

k = (-2^(1/2))/2 or k = (2^(1/2))/2

k in { (-2^(1/2))/2, (2^(1/2))/2} 

k in { (-2^(1/2))/2, (2^(1/2))/2 }

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