x/2-2/x=1

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Solution for x/2-2/x=1 equation: 


D( x )

x = 0

x = 0

x = 0

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

x/2-(2/x) = 1 // - 1

x/2-(2/x)-1 = 0

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

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

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

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

x^1

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

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

DELTA = (-1)^2-(-2*4*(1/2))

DELTA = 5

DELTA > 0

x = (5^(1/2)+1)/(2*(1/2)) or x = (1-5^(1/2))/(2*(1/2))

x = 5^(1/2)+1 or x = 1-5^(1/2)

x in { 1-5^(1/2), 5^(1/2)+1} 

x in { 1-5^(1/2), 5^(1/2)+1 }

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