Ln(x^2-4)^1/2

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Solution for Ln(x^2-4)^1/2 equation: 


D( x )

x^2-4 <= 0

x^2-4 <= 0

x^2-4 <= 0

1*x^2 <= 4

1*x^2 <= 4 // : 1

x^2 <= 4/1

x^2 <= 4

x^2 <= 4 // ^ 1/2

abs(x) <= 2

x in <-2:2>

x in (-oo:-2) U (2:+oo)

((ln(x^2-4))^1)/2 = 0

ln(x^2-4)/2 = 0

1/2*ln(x^2-4) = 0 // : 1/2

ln(x^2-4) = 0

ln(x^2-4) = ln(e^0)

x^2-4 = e^0

x^2-e^0-4 = 0

1*x^2 = 5 // : 1

x^2 = 5

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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