x+(36/x)=13

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Solution for x+(36/x)=13 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+36/x = 13 // - 13

x+36/x-13 = 0

1*x^1+36*x^-1-13*x^0 = 0

(1*x^2-13*x^1+36*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-13*x^1+36*x^0) = 0

x^1

x^2-13*x+36 = 0

x^2-13*x+36 = 0

DELTA = (-13)^2-(1*4*36)

DELTA = 25

DELTA > 0

x = (25^(1/2)+13)/(1*2) or x = (13-25^(1/2))/(1*2)

x = 9 or x = 4

x in { 4, 9} 

x in { 4, 9 }

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