0=(x^(2)-64)/(x^(2)-6)

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Solution for 0=(x^(2)-64)/(x^(2)-6) equation:


D( x )

x^2-6 = 0

x^2-6 = 0

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

0 = (x^2-64)/(x^2-6) // - (x^2-64)/(x^2-6)

0-((x^2-64)/(x^2-6)) = 0

-((x^2-64)/(x^2-6)) = 0

(-1*(x^2-64))/(x^2-6) = 0

( -1 )

-1 = 0

x belongs to the empty set

( x^2-64 )

1*x^2 = 64 // : 1

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x in { 8, -8 }

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