1/x^2-8=6

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Solution for 1/x^2-8=6 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)

1/(x^2)-8 = 6 // - 6

1/(x^2)-8-6 = 0

1*x^-2 = 14 // : 1

x^-2 = 14

-2 < 0

1/(x^2) = 14 // * x^2

1 = 14*x^2 // : 14

1/14 = x^2

x^2 = 1/14 // ^ 1/2

abs(x) = (1/14)^(1/2)

x = (1/14)^(1/2) or x = -(1/14)^(1/2)

x in { (1/14)^(1/2), -(1/14)^(1/2) }

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