9/x=2x

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Solution for 9/x=2x equation: 


D( x )

x = 0

x = 0

x = 0

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

9/x = 2*x // - 2*x

9/x-(2*x) = 0

9/x-2*x = 0

9*x^-1-2*x^1 = 0

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

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

x^1

9-2*x^2 = 0

9-2*x^2 = 0

DELTA = 0^2-(-2*4*9)

DELTA = 72

DELTA > 0

x = (72^(1/2)+0)/(-2*2) or x = (0-72^(1/2))/(-2*2)

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

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

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

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