x-1/x=35/x

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Solution for x-1/x=35/x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(1/x) = 35/x // - 35/x

x-(1/x)-(35/x) = 0

x-x^-1-35*x^-1 = 0

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

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

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

x^1

x^2-36 = 0

x^2-36 = 0

DELTA = 0^2-(-36*1*4)

DELTA = 144

DELTA > 0

x = (144^(1/2)+0)/(1*2) or x = (0-144^(1/2))/(1*2)

x = 6 or x = -6

x in { -6, 6} 

x in { -6, 6 }

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