6/x=x/4

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Solution for 6/x=x/4 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = x/4 // - x/4

6/x-(x/4) = 0

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

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

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

x^1

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

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

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

DELTA = 6

DELTA > 0

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

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

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

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

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