4/x+3x-4=22

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Solution for 4/x+3x-4=22 equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x+4/x-4 = 22 // - 22

3*x+4/x-22-4 = 0

3*x^1+4*x^-1-26*x^0 = 0

(3*x^2-26*x^1+4*x^0)/(x^1) = 0 // * x^2

x^1*(3*x^2-26*x^1+4*x^0) = 0

x^1

3*x^2-26*x+4 = 0

3*x^2-26*x+4 = 0

DELTA = (-26)^2-(3*4*4)

DELTA = 628

DELTA > 0

x = (628^(1/2)+26)/(2*3) or x = (26-628^(1/2))/(2*3)

x = (2*157^(1/2)+26)/6 or x = (26-2*157^(1/2))/6

x in { (26-2*157^(1/2))/6, (2*157^(1/2)+26)/6} 

x in { (26-2*157^(1/2))/6, (2*157^(1/2)+26)/6 }

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