4/x=x

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Solution for 4/x=x equation:


D( x )

x = 0

x = 0

x = 0

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

4/x = x // - x

4/x-x = 0

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

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

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

x^1

4-x^2 = 0

4-x^2 = 0

DELTA = 0^2-(-1*4*4)

DELTA = 16

DELTA > 0

x = (16^(1/2)+0)/(-1*2) or x = (0-16^(1/2))/(-1*2)

x = -2 or x = 2

x in { -2, 2}

x in { -2, 2 }

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