Rational equations and inequalities

1003119004

Level:

Find the solution set of the following equation.

\frac{1}{4 x^{2} - 4} = 0

\emptyset

{- 1; 1}

{1}

{- 1}

Level:

Find the sum of all solutions of the following equation.

\frac{3 (x - 1) (x + 4)}{(x - 3)} = 0

- 3

3

0

- 1

Level:

Find the solution set of the following equation.

\frac{3}{x - 1} + \frac{2}{x + 2} = 0

{- \frac{4}{5}}

\emptyset

{- 2; 1}

{- \frac{5}{4}}

Level:

Find the sum of all solutions of the following equation.

\frac{(x - 4) + (x + 2)}{(x + 2)} = 0

1

4

5

3

Level:

Find the solution set of the following equation.

\frac{x - 1}{x + 3} \cdot \frac{x + 3}{x - 1} = 0

\emptyset

R

{- 3; 1}

{- 1; 3}

Level:

Find the sum of all solutions of the following equation.

\frac{3 x^{2} + 3 x - 18}{2 x + 6} = 0

2

- 1

5

1

Level:

Find the sum of all solutions of the following equation.

\frac{x^{2} + 3 x + 2}{4 x^{2} - 4} = 1

2

1

0

- 1

Level:

Find the sum of all solutions of the following equation.

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

2

0

- 2

- 3

Level:

Find the sum of all solutions of the following equation.

\frac{x^{2} + 5 x + 6}{x^{2} + 2 x - 3} = 0

- 2

- 1

2

1

Level:

Find the sum of all solutions of the following equation.

\frac{3 (x - 1) (x + 4)}{(x + 4)} = 0

1

- 3

- 5

- 1