3/x-5=x

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Solution for 3/x-5=x equation:


D( x )

x = 0

x = 0

x = 0

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

3/x-5 = x // - x

3/x-x-5 = 0

3*x^-1-1*x^1-5*x^0 = 0

(3*x^0-1*x^2-5*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-1*x^2-5*x^1) = 0

x^1

3-x^2-5*x = 0

3-x^2-5*x = 0

DELTA = (-5)^2-(-1*3*4)

DELTA = 37

DELTA > 0

x = (37^(1/2)+5)/(-1*2) or x = (5-37^(1/2))/(-1*2)

x = (37^(1/2)+5)/(-2) or x = (5-37^(1/2))/(-2)

x in { (37^(1/2)+5)/(-2), (5-37^(1/2))/(-2)}

x in { (37^(1/2)+5)/(-2), (5-37^(1/2))/(-2) }

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