X/X^2=X+3

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Solution for X/X^2=X+3 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)

X/(X^2) = X+3 // - X+3

X/(X^2)-X-3 = 0

1*X^-1-1*X^1-3*X^0 = 0

(1*X^0-1*X^2-3*X^1)/(X^1) = 0 // * X^2

X^1*(1*X^0-1*X^2-3*X^1) = 0

X^1

1-X^2-3*X = 0

1-X^2-3*X = 0

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

DELTA = 13

DELTA > 0

X = (13^(1/2)+3)/(-1*2) or X = (3-13^(1/2))/(-1*2)

X = (13^(1/2)+3)/(-2) or X = (3-13^(1/2))/(-2)

X in { (13^(1/2)+3)/(-2), (3-13^(1/2))/(-2)}

X in { (13^(1/2)+3)/(-2), (3-13^(1/2))/(-2) }

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