(X^2-2)/(2X)

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Solution for (X^2-2)/(2X) equation:


D( X )

2*X = 0

2*X = 0

2*X = 0

2*X = 0 // : 2

X = 0

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

(X^2-2)/(2*X) = 0

1*X^2 = 2 // : 1

X^2 = 2

X^2 = 2 // ^ 1/2

abs(X) = 2^(1/2)

X = 2^(1/2) or X = -2^(1/2)

X in { 2^(1/2), -2^(1/2) }

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