X^2/x-3+9/3-x

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Solution for X^2/x-3+9/3-x equation: 


D( x )

x = 0

x = 0

x = 0

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

(X^2)/x-x+9/3-3 = 0

X^2*x^-1-x = 0

t_1 = x^-1

X^2*t_1^1-1*t_1^-1 = 0

X^2*t_1-t_1^-1 = 0

t_1^-1*(X^2*t_1^2-1) = 0

X^2*t_1^2 = 1 // : X^2

t_1^2 = 1/(X^2)

t_1^2 = 1/(X^2) // ^ 1/2

abs(t_1) = 1/X

t_1 = 1/X or t_1 = -(1/X)

1/t_1 = 0

1*t_1^-1 = 0 // : 1

t_1^-1 = 0

t_1 naleu017Cy do O

t_1 = 1/X

x^-1-(1/X) = 0

x^-1-X^-1 = 0

1*x^-1 = X^-1 // : 1

x^-1 = X^-1

-1 < 0

1/(x^1) = X^-1 // * x^1

1 = X^-1*x^1 // : X^-1

1/(X^-1) = x^1

x = 1/(X^-1)

t_1 = -(1/X)

1/X+x^-1 = 0

1*x^-1 = -X^-1 // : 1

x^-1 = -X^-1

-1 < 0

1/(x^1) = -X^-1 // * x^1

1 = -X^-1*x^1 // : -X^-1

1/(-X^-1) = x^1

x = 1/(-X^-1)

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

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