x-9=52/x

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Solution for x-9=52/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-9 = 52/x // - 52/x

x-(52/x)-9 = 0

x-52*x^-1-9 = 0

1*x^1-52*x^-1-9*x^0 = 0

(1*x^2-9*x^1-52*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-9*x^1-52*x^0) = 0

x^1

x^2-9*x-52 = 0

x^2-9*x-52 = 0

DELTA = (-9)^2-(-52*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)+9)/(1*2) or x = (9-289^(1/2))/(1*2)

x = 13 or x = -4

x in { -4, 13} 

x in { -4, 13 }

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