6/x-2/8=x/8

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Solution for 6/x-2/8=x/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x-(2/8) = x/8 // - x/8

6/x-(x/8)-(2/8) = 0

6/x-(x/8)-1/4 = 0

6*x^-1-1/8*x^1-1/4*x^0 = 0

(6*x^0-1/8*x^2-1/4*x^1)/(x^1) = 0 // * x^2

x^1*(6*x^0-1/8*x^2-1/4*x^1) = 0

x^1

(-1/8)*x^2+(-1/4)*x+6 = 0

(-1/8)*x^2+(-1/4)*x+6 = 0

DELTA = (-1/4)^2-(4*6*(-1/8))

DELTA = 49/16

DELTA > 0

x = ((49/16)^(1/2)-(-1/4))/(2*(-1/8)) or x = (-(-1/4)-(49/16)^(1/2))/(2*(-1/8))

x = -8 or x = 6

x in { -8, 6} 

x in { -8, 6 }

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