15x=13-2/x

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Solution for 15x=13-2/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

15*x+2/x-13 = 0

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

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

x^1*(15*x^2-13*x^1+2*x^0) = 0

x^1

15*x^2-13*x+2 = 0

15*x^2-13*x+2 = 0

DELTA = (-13)^2-(2*4*15)

DELTA = 49

DELTA > 0

x = (49^(1/2)+13)/(2*15) or x = (13-49^(1/2))/(2*15)

x = 2/3 or x = 1/5

x in { 1/5, 2/3} 

x in { 1/5, 2/3 }

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