6/3-5k+3/k-2

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Solution for 6/3-5k+3/k-2 equation: 


D( k )

k = 0

k = 0

k = 0

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

3/k-(5*k)+6/3-2 = 0

3/k-5*k+6/3-2 = 0

3*k^-1-5*k^1 = 0

(3*k^0-5*k^2)/(k^1) = 0 // * k^2

k^1*(3*k^0-5*k^2) = 0

k^1

3-5*k^2 = 0

3-5*k^2 = 0

DELTA = 0^2-(-5*3*4)

DELTA = 60

DELTA > 0

k = (60^(1/2)+0)/(-5*2) or k = (0-60^(1/2))/(-5*2)

k = (-15^(1/2))/5 or k = (1*15^(1/2))/5

k in { (-15^(1/2))/5, (1*15^(1/2))/5} 

k in { (-15^(1/2))/5, (1*15^(1/2))/5 }

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