36x-64=36/x

Solution for 36x-64=36/x equation:

D( x )

x = 0

x = 0

x = 0

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

36*x-64 = 36/x // - 36/x

36*x-(36/x)-64 = 0

36*x-36*x^-1-64 = 0

36*x^1-36*x^-1-64*x^0 = 0

(36*x^2-64*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(36*x^2-64*x^1-36*x^0) = 0

x^1

36*x^2-64*x-36 = 0

36*x^2-64*x-36 = 0

DELTA = (-64)^2-(-36*4*36)

DELTA = 9280

DELTA > 0

x = (9280^(1/2)+64)/(2*36) or x = (64-9280^(1/2))/(2*36)

x = (8*145^(1/2)+64)/72 or x = (64-8*145^(1/2))/72

x in { (64-8*145^(1/2))/72, (8*145^(1/2)+64)/72} 

x in { (64-8*145^(1/2))/72, (8*145^(1/2)+64)/72 }