4/x^2-6

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Solution for 4/x^2-6 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)

4/(x^2)-6 = 0

4*x^-2 = 6 // : 4

x^-2 = 3/2

-2 < 0

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

1 = 3/2*x^2 // : 3/2

2/3 = x^2

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

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

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

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

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