9/1-1/x=1/4x

Solution for 9/1-1/x=1/4x equation:

D( x )

x = 0

x = 0

x = 0

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

9/1-(1/x) = (1/4)*x // - (1/4)*x

9/1-((1/4)*x)-(1/x) = 0

(-1/4)*x-x^-1+9 = 0

9*x^0-1/4*x^1-1*x^-1 = 0

(9*x^1-1/4*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^1-1/4*x^2-1*x^0) = 0

x^1

(-1/4)*x^2+9*x-1 = 0

(-1/4)*x^2+9*x-1 = 0

DELTA = 9^2-(-1*4*(-1/4))

DELTA = 80

DELTA > 0

x = (80^(1/2)-9)/(2*(-1/4)) or x = (-80^(1/2)-9)/(2*(-1/4))

x = -2*(4*5^(1/2)-9) or x = -2*(-4*5^(1/2)-9)

x in { -2*(4*5^(1/2)-9), -2*(-4*5^(1/2)-9)} 

x in { -2*(4*5^(1/2)-9), -2*(-4*5^(1/2)-9) }