2x/9=8/x

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Solution for 2x/9=8/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(2*x)/9 = 8/x // - 8/x

(2*x)/9-(8/x) = 0

(2*x)/9-8*x^-1 = 0

2/9*x^1-8*x^-1 = 0

(2/9*x^2-8*x^0)/(x^1) = 0 // * x^2

x^1*(2/9*x^2-8*x^0) = 0

x^1

(2/9)*x^2-8 = 0

(2/9)*x^2-8 = 0

DELTA = 0^2-(-8*4*(2/9))

DELTA = 64/9

DELTA > 0

x = ((64/9)^(1/2)+0)/(2*(2/9)) or x = (0-(64/9)^(1/2))/(2*(2/9))

x = 6 or x = -6

x in { -6, 6} 

x in { -6, 6 }

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