5/k-6k=-3

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Solution for 5/k-6k=-3 equation: 


D( k )

k = 0

k = 0

k = 0

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

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

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

5/k-6*k+3 = 0

5*k^-1-6*k^1+3*k^0 = 0

(3*k^1-6*k^2+5*k^0)/(k^1) = 0 // * k^2

k^1*(3*k^1-6*k^2+5*k^0) = 0

k^1

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

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

DELTA = 3^2-(-6*4*5)

DELTA = 129

DELTA > 0

k = (129^(1/2)-3)/(-6*2) or k = (-129^(1/2)-3)/(-6*2)

k = (129^(1/2)-3)/(-12) or k = (129^(1/2)+3)/12

k in { (129^(1/2)-3)/(-12), (129^(1/2)+3)/12} 

k in { (129^(1/2)-3)/(-12), (129^(1/2)+3)/12 }

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