8/x=x/18

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Solution for 8/x=x/18 equation: 


D( x )

x = 0

x = 0

x = 0

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

8/x = x/18 // - x/18

8/x-(x/18) = 0

8*x^-1-1/18*x^1 = 0

(8*x^0-1/18*x^2)/(x^1) = 0 // * x^2

x^1*(8*x^0-1/18*x^2) = 0

x^1

(-1/18)*x^2+8 = 0

(-1/18)*x^2+8 = 0

DELTA = 0^2-(4*8*(-1/18))

DELTA = 16/9

DELTA > 0

x = ((16/9)^(1/2)+0)/(2*(-1/18)) or x = (0-(16/9)^(1/2))/(2*(-1/18))

x = -12 or x = 12

x in { -12, 12} 

x in { -12, 12 }

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