24/x=x/6

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Solution for 24/x=x/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

24/x = x/6 // - x/6

24/x-(x/6) = 0

24*x^-1-1/6*x^1 = 0

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

x^1*(24*x^0-1/6*x^2) = 0

x^1

(-1/6)*x^2+24 = 0

(-1/6)*x^2+24 = 0

DELTA = 0^2-(4*24*(-1/6))

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(2*(-1/6)) or x = (0-16^(1/2))/(2*(-1/6))

x = -12 or x = 12

x in { -12, 12} 

x in { -12, 12 }

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