6/x=x/19

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Solution for 6/x=x/19 equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x = x/19 // - x/19

6/x-(x/19) = 0

6*x^-1-1/19*x^1 = 0

(6*x^0-1/19*x^2)/(x^1) = 0 // * x^2

x^1*(6*x^0-1/19*x^2) = 0

x^1

(-1/19)*x^2+6 = 0

(-1/19)*x^2+6 = 0

DELTA = 0^2-(4*6*(-1/19))

DELTA = 24/19

DELTA > 0

x = ((24/19)^(1/2)+0)/(2*(-1/19)) or x = (0-(24/19)^(1/2))/(2*(-1/19))

x = -19/2*(24/19)^(1/2) or x = 19/2*(24/19)^(1/2)

x in { -19/2*(24/19)^(1/2), 19/2*(24/19)^(1/2)} 

x in { -19/2*(24/19)^(1/2), 19/2*(24/19)^(1/2) }

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