2/3H-1/H+11=8

Solution for 2/3H-1/H+11=8 equation:

D( H )

H = 0

H = 0

H = 0

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

(2/3)*H-(1/H)+11 = 8 // - 8

(2/3)*H-(1/H)-8+11 = 0

(2/3)*H-H^-1-8+11 = 0

2/3*H^1-1*H^-1+3*H^0 = 0

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

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

H^1

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

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

DELTA = 3^2-(-1*4*(2/3))

DELTA = 35/3

DELTA > 0

H = ((35/3)^(1/2)-3)/(2*(2/3)) or H = (-(35/3)^(1/2)-3)/(2*(2/3))

H = 3/4*((35/3)^(1/2)-3) or H = -3/4*((35/3)^(1/2)+3)

H in { -3/4*((35/3)^(1/2)+3), 3/4*((35/3)^(1/2)-3)} 

H in { -3/4*((35/3)^(1/2)+3), 3/4*((35/3)^(1/2)-3) }