5/x^2-1=0

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

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

x^-2 = 1/5

-2 < 0

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

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

5 = x^2

x^2 = 5 // ^ 1/2

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

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

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

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