3/x2-2=7

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Solution for 3/x2-2=7 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)-2 = 7 // - 7

3/(x^2)-7-2 = 0

3*x^-2 = 9 // : 3

x^-2 = 3

-2 < 0

1/(x^2) = 3 // * x^2

1 = 3*x^2 // : 3

1/3 = x^2

x^2 = 1/3 // ^ 1/2

abs(x) = (1/3)^(1/2)

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

x in { (1/3)^(1/2), -(1/3)^(1/2) }

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