4/x2=1/9

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Solution for 4/x2=1/9 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

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

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

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

4*x^-2 = 1/9 // : 4

x^-2 = 1/36

-2 < 0

1/(x^2) = 1/36 // * x^2

1 = 1/36*x^2 // : 1/36

36 = x^2

x^2 = 36 // ^ 1/2

abs(x) = 6

x = 6 or x = -6

x in { 6, -6 }

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