12/x=x-2/16

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Solution for 12/x=x-2/16 equation:


D( x )

x = 0

x = 0

x = 0

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

12/x = x-(2/16) // - x-(2/16)

12/x-x+2/16 = 0

12*x^-1-1*x^1+1/8*x^0 = 0

(1/8*x^1-1*x^2+12*x^0)/(x^1) = 0 // * x^2

x^1*(1/8*x^1-1*x^2+12*x^0) = 0

x^1

(1/8)*x-x^2+12 = 0

(1/8)*x-x^2+12 = 0

DELTA = (1/8)^2-(-1*4*12)

DELTA = 3073/64

DELTA > 0

x = ((3073/64)^(1/2)-(1/8))/(-1*2) or x = (-(1/8)-(3073/64)^(1/2))/(-1*2)

x = ((3073/64)^(1/2)-1/8)/(-2) or x = ((3073/64)^(1/2)+1/8)/2

x in { ((3073/64)^(1/2)-1/8)/(-2), ((3073/64)^(1/2)+1/8)/2}

x in { ((3073/64)^(1/2)-1/8)/(-2), ((3073/64)^(1/2)+1/8)/2 }

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