2x-5/x=13

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Solution for 2x-5/x=13 equation: 


D( x )

x = 0

x = 0

x = 0

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

2*x-(5/x) = 13 // - 13

2*x-(5/x)-13 = 0

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

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

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

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

x^1

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

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

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

DELTA = 209

DELTA > 0

x = (209^(1/2)+13)/(2*2) or x = (13-209^(1/2))/(2*2)

x = (209^(1/2)+13)/4 or x = (13-209^(1/2))/4

x in { (13-209^(1/2))/4, (209^(1/2)+13)/4} 

x in { (13-209^(1/2))/4, (209^(1/2)+13)/4 }

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