24/x=x/8

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Solution for 24/x=x/8 equation: 


D( x )

x = 0

x = 0

x = 0

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

24/x = x/8 // - x/8

24/x-(x/8) = 0

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

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

x^1*(24*x^0-1/8*x^2) = 0

x^1

(-1/8)*x^2+24 = 0

(-1/8)*x^2+24 = 0

DELTA = 0^2-(4*24*(-1/8))

DELTA = 12

DELTA > 0

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

x = -8*3^(1/2) or x = 8*3^(1/2)

x in { -8*3^(1/2), 8*3^(1/2)} 

x in { -8*3^(1/2), 8*3^(1/2) }

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