(19/x-6)+x=26

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Solution for (19/x-6)+x=26 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+19/x-6 = 26 // - 26

x+19/x-26-6 = 0

1*x^1+19*x^-1-32*x^0 = 0

(1*x^2-32*x^1+19*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-32*x^1+19*x^0) = 0

x^1

x^2-32*x+19 = 0

x^2-32*x+19 = 0

DELTA = (-32)^2-(1*4*19)

DELTA = 948

DELTA > 0

x = (948^(1/2)+32)/(1*2) or x = (32-948^(1/2))/(1*2)

x = (2*237^(1/2)+32)/2 or x = (32-2*237^(1/2))/2

x in { (32-2*237^(1/2))/2, (2*237^(1/2)+32)/2} 

x in { (32-2*237^(1/2))/2, (2*237^(1/2)+32)/2 }

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