3/x2-1/2=13

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Solution for 3/x2-1/2=13 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)

3/(x^2)-(1/2) = 13 // - 13

3/(x^2)-(1/2)-13 = 0

3/(x^2)-1/2-13 = 0

3*x^-2 = 27/2 // : 3

x^-2 = 9/2

-2 < 0

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

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

2/9 = x^2

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

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

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

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

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