8h-6/h

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Solution for 8h-6/h equation: 


D( h )

h = 0

h = 0

h = 0

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

8*h-(6/h) = 0

8*h-6*h^-1 = 0

8*h^1-6*h^-1 = 0

(8*h^2-6*h^0)/(h^1) = 0 // * h^2

h^1*(8*h^2-6*h^0) = 0

h^1

8*h^2-6 = 0

8*h^2-6 = 0

DELTA = 0^2-(-6*4*8)

DELTA = 192

DELTA > 0

h = (192^(1/2)+0)/(2*8) or h = (0-192^(1/2))/(2*8)

h = (3^(1/2))/2 or h = (-3^(1/2))/2

h in { (-3^(1/2))/2, (3^(1/2))/2} 

h in { (-3^(1/2))/2, (3^(1/2))/2 }

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