4/x^2=8/9

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Solution for 4/x^2=8/9 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) = 8/9 // - 8/9

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

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

4*x^-2 = 8/9 // : 4

x^-2 = 2/9

-2 < 0

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

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

9/2 = x^2

x^2 = 9/2 // ^ 1/2

abs(x) = (9/2)^(1/2)

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

x in { (9/2)^(1/2), -(9/2)^(1/2) }

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