x=10/(1.618*x)

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Solution for x=10/(1.618*x) equation: 


D( x )

1.618*x = 0

1.618*x = 0

1.618*x = 0

1.618*x = 0 // : 1.618

x = 0

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

x = 10/(1.618*x) // - 10/(1.618*x)

x-(10/(1.618*x)) = 0

x-6.18046972*x^-1 = 0

x-6.18046972*x^-1 = 0

x^-1*(x^2-6.18046972) = 0

1*x^2 = 6.18046972 // : 1

x^2 = 6.18046972

x^2 = 6.18046972 // ^ 1/2

abs(x) = 6.18046972^(1/2)

x = 6.18046972^(1/2) or x = -6.18046972^(1/2)

1/x = 0

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

x^-1 = 0

x należy do O

x in { 6.18046972^(1/2), -6.18046972^(1/2) }

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