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

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


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

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

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

1/4*x^2-x^-1 = 0

x^-1*(1/4*x^3-1) = 0

1/4*x^3 = 1 // : 1/4

x^3 = 4

x^3 = 4 // ^ 1/3

x = 4^(1/3)

x^-1*(x-4^(1/3)) = 0

(x^-1)^2*(x-4^(1/3))^2 = 0

( x-4^(1/3) )

x-4^(1/3) = 0 // + 4^(1/3)

x = 4^(1/3)

( x^-1 )

1*x^-1 = 0 // : 1

x^-1 = 0

x należy do O

x in { 4^(1/3), 4^(1/3) }

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