4/x=9x

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Solution for 4/x=9x equation: 


D( x )

x = 0

x = 0

x = 0

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

4/x = 9*x // - 9*x

4/x-(9*x) = 0

4/x-9*x = 0

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

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

x^1*(4*x^0-9*x^2) = 0

x^1

4-9*x^2 = 0

4-9*x^2 = 0

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

DELTA = 144

DELTA > 0

x = (144^(1/2)+0)/(-9*2) or x = (0-144^(1/2))/(-9*2)

x = -2/3 or x = 2/3

x in { -2/3, 2/3} 

x in { -2/3, 2/3 }

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