((x/64)-(1/x))/((9/64)-(9/(8x)))

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Solution for ((x/64)-(1/x))/((9/64)-(9/(8x))) equation:


D( x )

x = 0

8*x = 0

9/64-(9/(8*x)) = 0

x = 0

x = 0

8*x = 0

8*x = 0

8*x = 0 // : 8

x = 0

9/64-(9/(8*x)) = 0

9/64-(9/(8*x)) = 0

(-9/8)*x^-1+9/64 = 0

-9/8*x^-1 = -9/64 // : -9/8

x^-1 = 1/8

-1 < 0

1/(x^1) = 1/8 // * x^1

1 = 1/8*x^1 // : 1/8

8 = x^1

x = 8

x in (-oo:0) U (0:8) U (8:+oo)

(x/64-(1/x))/(9/64-(9/(8*x))) = 0

(x/64-x^-1)/((-9/8)*x^-1+9/64) = 0

(1/64*x-x^-1)/(9/64-9/8*x^-1) = 0

1/64*x-x^-1 = 0

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

1/64*x^2 = 1 // : 1/64

x^2 = 64

x^2 = 64 // ^ 1/2

abs(x) = 8

x = 8 or x = -8

x^-1*(x-8)*(x+8) = 0

(x^-1*(x-8)*(x+8))/(9/64-9/8*x^-1) = 0

( x+8 )

x+8 = 0 // - 8

x = -8

( x-8 )

x-8 = 0 // + 8

x = 8

( x^-1 )

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

x^-1 = 0

x należy do O

x in { 8}

x = -8

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