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

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Solution for (1/3)(x^2-2)^(3/2) equation: 


D( x )

x^2-2 < 0

x^2-2 < 0

x^2-2 < 0

1*x^2 < 2

1*x^2 < 2 // : 1

x^2 < 2/1

x^2 < 2

x^2 < 2 // ^ 1/2

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

x in (-2^(1/2):2^(1/2))

x in (-oo:-2^(1/2)> U <2^(1/2):+oo)

(1/3)*(x^2-2)^(3/2) = 0

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