1/x+5x=13

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Solution for 1/x+5x=13 equation:


D( x )

x = 0

x = 0

x = 0

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

5*x+1/x = 13 // - 13

5*x+1/x-13 = 0

5*x^1+1*x^-1-13*x^0 = 0

(5*x^2-13*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(5*x^2-13*x^1+1*x^0) = 0

x^1

5*x^2-13*x+1 = 0

5*x^2-13*x+1 = 0

DELTA = (-13)^2-(1*4*5)

DELTA = 149

DELTA > 0

x = (149^(1/2)+13)/(2*5) or x = (13-149^(1/2))/(2*5)

x = (149^(1/2)+13)/10 or x = (13-149^(1/2))/10

x in { (13-149^(1/2))/10, (149^(1/2)+13)/10}

x in { (13-149^(1/2))/10, (149^(1/2)+13)/10 }

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