x+52/x=17

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Solution for x+52/x=17 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+52/x = 17 // - 17

x+52/x-17 = 0

1*x^1+52*x^-1-17*x^0 = 0

(1*x^2-17*x^1+52*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-17*x^1+52*x^0) = 0

x^1

x^2-17*x+52 = 0

x^2-17*x+52 = 0

DELTA = (-17)^2-(1*4*52)

DELTA = 81

DELTA > 0

x = (81^(1/2)+17)/(1*2) or x = (17-81^(1/2))/(1*2)

x = 13 or x = 4

x in { 4, 13} 

x in { 4, 13 }

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