1/x+2/11x=9

Solution for 1/x+2/11x=9 equation:

D( x )

x = 0

x = 0

x = 0

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

(2/11)*x+1/x = 9 // - 9

(2/11)*x+1/x-9 = 0

2/11*x^1+1*x^-1-9*x^0 = 0

(2/11*x^2-9*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(2/11*x^2-9*x^1+1*x^0) = 0

x^1

(2/11)*x^2-9*x+1 = 0

(2/11)*x^2-9*x+1 = 0

DELTA = (-9)^2-(1*4*(2/11))

DELTA = 883/11

DELTA > 0

x = ((883/11)^(1/2)+9)/(2*(2/11)) or x = (9-(883/11)^(1/2))/(2*(2/11))

x = 11/4*((883/11)^(1/2)+9) or x = 11/4*(9-(883/11)^(1/2))

x in { 11/4*(9-(883/11)^(1/2)), 11/4*((883/11)^(1/2)+9)} 

x in { 11/4*(9-(883/11)^(1/2)), 11/4*((883/11)^(1/2)+9) }