x/x^2+9x+20

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Solution for x/x^2+9x+20 equation:


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

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

9*x+x/(x^2)+20 = 0

9*x^1+1*x^-1+20*x^0 = 0

(9*x^2+20*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(9*x^2+20*x^1+1*x^0) = 0

x^1

9*x^2+20*x+1 = 0

9*x^2+20*x+1 = 0

DELTA = 20^2-(1*4*9)

DELTA = 400-36

DELTA = 364

DELTA > 0

x = ((400-36)^(1/2)-20)/(2*9) or x = (-(400-36)^(1/2)-20)/(2*9)

x = ((400-36)^(1/2)-20)/18 or x = (-((400-36)^(1/2)+20))/18

x in { (-((400-36)^(1/2)+20))/18, ((400-36)^(1/2)-20)/18}

x in { (-((400-36)^(1/2)+20))/18, ((400-36)^(1/2)-20)/18 }

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