x-5=36/x

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Solution for x-5=36/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-5 = 36/x // - 36/x

x-(36/x)-5 = 0

x-36*x^-1-5 = 0

1*x^1-36*x^-1-5*x^0 = 0

(1*x^2-5*x^1-36*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-5*x^1-36*x^0) = 0

x^1

x^2-5*x-36 = 0

x^2-5*x-36 = 0

DELTA = (-5)^2-(-36*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)+5)/(1*2) or x = (5-169^(1/2))/(1*2)

x = 9 or x = -4

x in { -4, 9} 

x in { -4, 9 }

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