8^3-27/x^2-4

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Solution for 8^3-27/x^2-4 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)

8^3-(27/(x^2))-4 = 0

8^3-27*x^-2-4 = 0

-27*x^-2 = -508 // : -27

x^-2 = 508/27

-2 < 0

1/(x^2) = 508/27 // * x^2

1 = 508/27*x^2 // : 508/27

27/508 = x^2

x^2 = 27/508 // ^ 1/2

abs(x) = (27/508)^(1/2)

x = (27/508)^(1/2) or x = -(27/508)^(1/2)

x in { (27/508)^(1/2), -(27/508)^(1/2) }

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