x-9=22/x

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Solution for x-9=22/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-9 = 22/x // - 22/x

x-(22/x)-9 = 0

x-22*x^-1-9 = 0

1*x^1-22*x^-1-9*x^0 = 0

(1*x^2-9*x^1-22*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-9*x^1-22*x^0) = 0

x^1

x^2-9*x-22 = 0

x^2-9*x-22 = 0

DELTA = (-9)^2-(-22*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)+9)/(1*2) or x = (9-169^(1/2))/(1*2)

x = 11 or x = -2

x in { -2, 11} 

x in { -2, 11 }

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