Rational equations and inequalities

2000005301

Level:

In real numbers, find the solution set of the following equation.

\frac{x^{2} + 1}{x^{2} - 9} = 0

\emptyset

\pm 1

\pm 3

- 1

Level:

Find the domain of the expression.

\frac{x^{2} + 4 x - 5}{- 3 x^{2} - 19 x + 14}

R ∖ {- 7; \frac{2}{3}}

R ∖ {7; - \frac{2}{3}}

(7; - \frac{2}{3})

(- 7; \frac{2}{3})

Level:

Find the domain of the equation

\frac{(x - 1) (x + 2)}{(x - 1) (x + 3)} = \frac{1}{x}

R ∖ {- 3; 0; 1}

R ∖ {- 3; 0}

R ∖ {- 3; - 2; 0}

R ∖ {- 3; 1}

Level:

Find the domain of the equation

\frac{x + 1}{x^{2} - 3} = \frac{x^{2} + x - 2}{2 x + 8}

R ∖ {- 4; - \sqrt{3}; \sqrt{3}}

R ∖ {- 2; - 1; 1}

R ∖ {- 4; \sqrt{3}}

R ∖ {- 4}

Level:

Find the domain of the equation

\frac{3 x + 2}{\frac{x}{3}} = 1

R ∖ {0}

R

R ∖ {- \frac{2}{3}}

R ∖ {- \frac{2}{3}; 0}

Level:

Find the domain of the equation

\frac{2 x + 5}{x - 2} = \frac{1}{x^{2} - 1}

R ∖ {- 1; 1; 2}

R ∖ {1; 2}

R ∖ {- \frac{5}{2}; - 1; 1}

R ∖ {2}

Level:

Find the domain of the equation

\frac{x + 3}{x^{2} - 8} = \frac{1}{x}

R ∖ {- 2 \sqrt{2}; 0; 2 \sqrt{2}}

R ∖ {0}

R ∖ {- 3}

R ∖ {0; 4}

Level:

Find the solution set of the following equation.

\frac{x + 1}{x - 1} = 0

{- 1}

{- 1; 1}

{- 1; 0; 1}

\emptyset

Level:

Find the solution set of the following equation.

\frac{x^{2} + 4 x + 4}{x + 2} = 0

\emptyset

{- 2}

{- 2; 2}

{2}

Level:

Find the solution set of the following equation.

\frac{3 x^{2} - 27}{x + 3} = 0

{3}

{- 3; 3}

{9}

\emptyset