9/x=x/6

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Solution for 9/x=x/6 equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x = x/6 // - x/6

9/x-(x/6) = 0

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

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

x^1*(9*x^0-1/6*x^2) = 0

x^1

(-1/6)*x^2+9 = 0

(-1/6)*x^2+9 = 0

DELTA = 0^2-(4*9*(-1/6))

DELTA = 6

DELTA > 0

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

x = -3*6^(1/2) or x = 3*6^(1/2)

x in { -3*6^(1/2), 3*6^(1/2)} 

x in { -3*6^(1/2), 3*6^(1/2) }

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