1/x-1/2x=1/16

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Solution for 1/x-1/2x=1/16 equation:


D( x )

x = 0

x = 0

x = 0

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

1/x-((1/2)*x) = 1/16 // - 1/16

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

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

1*x^-1-1/2*x^1-1/16*x^0 = 0

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

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

x^1

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

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

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

DELTA = 513/256

DELTA > 0

x = ((513/256)^(1/2)-(-1/16))/(2*(-1/2)) or x = (-(-1/16)-(513/256)^(1/2))/(2*(-1/2))

x = -((513/256)^(1/2)+1/16) or x = (513/256)^(1/2)-1/16

x in { -((513/256)^(1/2)+1/16), (513/256)^(1/2)-1/16}

x in { -((513/256)^(1/2)+1/16), (513/256)^(1/2)-1/16 }

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