(2-x^2)/(6x-x^3)

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Solution for (2-x^2)/(6x-x^3) equation:


D( x )

6*x-x^3 = 0

6*x-x^3 = 0

6*x-x^3 = 0

6*x-x^3 = 0

x*(6-x^2) = 0

-1*x^2 = -6 // : -1

x^2 = 6

x^2 = 6 // ^ 1/2

abs(x) = 6^(1/2)

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

x = 0

x = 0

x in (-oo:-6^(1/2)) U (-6^(1/2):0) U (0:6^(1/2)) U (6^(1/2):+oo)

(2-x^2)/(6*x-x^3) = 0

6*x-x^3 = 0

x*(6-x^2) = 0

-1*x^2 = -6 // : -1

x^2 = 6

x^2 = 6 // ^ 1/2

abs(x) = 6^(1/2)

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

x*(x-6^(1/2))*(x+6^(1/2)) = 0

(2-x^2)/(x*(x-6^(1/2))*(x+6^(1/2))) = 0

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

x^2 = 2

x^2 = 2 // ^ 1/2

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

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

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

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