5=1/x^2

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Solution for 5=1/x^2 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)

5 = 1/(x^2) // - 1/(x^2)

5-(1/(x^2)) = 0

5-x^-2 = 0

-1*x^-2 = -5 // : -1

x^-2 = 5

-2 < 0

1/(x^2) = 5 // * x^2

1 = 5*x^2 // : 5

1/5 = x^2

x^2 = 1/5 // ^ 1/2

abs(x) = (1/5)^(1/2)

x = (1/5)^(1/2) or x = -(1/5)^(1/2)

x in { (1/5)^(1/2), -(1/5)^(1/2) }

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