7/h-4h=18/12

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Solution for 7/h-4h=18/12 equation: 


D( h )

h = 0

h = 0

h = 0

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

7/h-(4*h) = 18/12 // - 18/12

7/h-(4*h)-(18/12) = 0

7/h-4*h-3/2 = 0

7*h^-1-4*h^1-3/2*h^0 = 0

(7*h^0-4*h^2-3/2*h^1)/(h^1) = 0 // * h^2

h^1*(7*h^0-4*h^2-3/2*h^1) = 0

h^1

(-3/2)*h-4*h^2+7 = 0

(-3/2)*h-4*h^2+7 = 0

DELTA = (-3/2)^2-(-4*4*7)

DELTA = 457/4

DELTA > 0

h = ((457/4)^(1/2)-(-3/2))/(-4*2) or h = (-(-3/2)-(457/4)^(1/2))/(-4*2)

h = ((457/4)^(1/2)+3/2)/(-8) or h = (3/2-(457/4)^(1/2))/(-8)

h in { ((457/4)^(1/2)+3/2)/(-8), (3/2-(457/4)^(1/2))/(-8)} 

h in { ((457/4)^(1/2)+3/2)/(-8), (3/2-(457/4)^(1/2))/(-8) }

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