X+(4/x)=9x+4

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Solution for X+(4/x)=9x+4 equation: 


D( x )

x = 0

x = 0

x = 0

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

X+4/x = 9*x+4 // - 9*x+4

X-(9*x)+4/x-4 = 0

X-9*x+4/x-4 = 0

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

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

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

x^1

4-9*x^2-4*x = 0

4-9*x^2-4*x = 0

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

DELTA = 160

DELTA > 0

x = (160^(1/2)+4)/(-9*2) or x = (4-160^(1/2))/(-9*2)

x = (4*10^(1/2)+4)/(-18) or x = (4-4*10^(1/2))/(-18)

x in { (4*10^(1/2)+4)/(-18), (4-4*10^(1/2))/(-18)} 

x in { (4*10^(1/2)+4)/(-18), (4-4*10^(1/2))/(-18) }

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