(2x/9)=(2/x)

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Solution for (2x/9)=(2/x) equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*x)/9 = 2/x // - 2/x

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

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

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

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

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

x^1

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

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

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

DELTA = 16/9

DELTA > 0

x = ((16/9)^(1/2)+0)/(2*(2/9)) or x = (0-(16/9)^(1/2))/(2*(2/9))

x = 3 or x = -3

x in { -3, 3} 

x in { -3, 3 }

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