x/9+5/x=2

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Solution for x/9+5/x=2 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/9+5/x = 2 // - 2

x/9+5/x-2 = 0

1/9*x^1+5*x^-1-2*x^0 = 0

(1/9*x^2-2*x^1+5*x^0)/(x^1) = 0 // * x^2

x^1*(1/9*x^2-2*x^1+5*x^0) = 0

x^1

(1/9)*x^2-2*x+5 = 0

(1/9)*x^2-2*x+5 = 0

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

DELTA = 16/9

DELTA > 0

x = ((16/9)^(1/2)+2)/(2*(1/9)) or x = (2-(16/9)^(1/2))/(2*(1/9))

x = 15 or x = 3

x in { 3, 15} 

x in { 3, 15 }

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