6/x=x

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Solution for 6/x=x equation:


D( x )

x = 0

x = 0

x = 0

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

6/x = x // - x

6/x-x = 0

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

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

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

x^1

6-x^2 = 0

6-x^2 = 0

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

DELTA = 24

DELTA > 0

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

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

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

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

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