4/x=x/16

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Solution for 4/x=x/16 equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = x/16 // - x/16

4/x-(x/16) = 0

4*x^-1-1/16*x^1 = 0

(4*x^0-1/16*x^2)/(x^1) = 0 // * x^2

x^1*(4*x^0-1/16*x^2) = 0

x^1

(-1/16)*x^2+4 = 0

(-1/16)*x^2+4 = 0

DELTA = 0^2-(4*4*(-1/16))

DELTA = 1

DELTA > 0

x = (1^(1/2)+0)/(2*(-1/16)) or x = (0-1^(1/2))/(2*(-1/16))

x = -8 or x = 8

x in { -8, 8} 

x in { -8, 8 }

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