x+180/x=29

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Solution for x+180/x=29 equation: 


D( x )

x = 0

x = 0

x = 0

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

x+180/x = 29 // - 29

x+180/x-29 = 0

1*x^1+180*x^-1-29*x^0 = 0

(1*x^2-29*x^1+180*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-29*x^1+180*x^0) = 0

x^1

x^2-29*x+180 = 0

x^2-29*x+180 = 0

DELTA = (-29)^2-(1*4*180)

DELTA = 121

DELTA > 0

x = (121^(1/2)+29)/(1*2) or x = (29-121^(1/2))/(1*2)

x = 20 or x = 9

x in { 9, 20} 

x in { 9, 20 }

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