1/x=x/256

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Solution for 1/x=x/256 equation: 


D( x )

x = 0

x = 0

x = 0

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

1/x = x/256 // - x/256

1/x-(x/256) = 0

1*x^-1-1/256*x^1 = 0

(1*x^0-1/256*x^2)/(x^1) = 0 // * x^2

x^1*(1*x^0-1/256*x^2) = 0

x^1

(-1/256)*x^2+1 = 0

(-1/256)*x^2+1 = 0

DELTA = 0^2-(1*4*(-1/256))

DELTA = 1/64

DELTA > 0

x = ((1/64)^(1/2)+0)/(2*(-1/256)) or x = (0-(1/64)^(1/2))/(2*(-1/256))

x = -16 or x = 16

x in { -16, 16} 

x in { -16, 16 }

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