2h-6/h=-2/3

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Solution for 2h-6/h=-2/3 equation: 


D( h )

h = 0

h = 0

h = 0

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

2*h-(6/h) = -2/3 // + -2/3

2*h-(6/h)-(-2/3) = 0

2*h-6*h^-1+2/3 = 0

2*h^1-6*h^-1+2/3*h^0 = 0

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

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

h^1

2*h^2+(2/3)*h-6 = 0

2*h^2+(2/3)*h-6 = 0

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

DELTA = 436/9

DELTA > 0

h = ((436/9)^(1/2)-(2/3))/(2*2) or h = (-(2/3)-(436/9)^(1/2))/(2*2)

h = ((436/9)^(1/2)-2/3)/4 or h = (-((436/9)^(1/2)+2/3))/4

h in { (-((436/9)^(1/2)+2/3))/4, ((436/9)^(1/2)-2/3)/4} 

h in { (-((436/9)^(1/2)+2/3))/4, ((436/9)^(1/2)-2/3)/4 }

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