Quadratic equations and inequalities

9000034910

Level:

Find the solution set of the following quadratic inequality.

(x - 3)^{2} \geq 0

R

\emptyset

R ∖ {3}

{3}

9000039004

Level:

Find all

x

such that the expression

(x - 1) (x - 7)

is negative.

x \in (1; 7)

x \in (- \infty; 1) \cup (7; + \infty)

No such

x

exists.

x \in R

1003067802

Level:

For

x \in (- \infty; 3)

choose the correct form of the equation

| x^{2} - 9 x + 20 | = 1

that does not contain an absolute value.

x^{2} - 9 x + 20 = 1

- x^{2} + 9 x - 20 = 1

x^{2} - 9 x + 20 = - 1

x^{2} + 9 x - 20 = 1

1003067803

Level:

For

x \in (1; 2)

choose the correct form of the equation

| 2 x^{2} - 5 x - 7 | = | x^{2} - 3 x + 1 |

that does not contain an absolute value.

- 2 x^{2} + 5 x + 7 = - x^{2} + 3 x - 1

2 x^{2} - 5 x - 7 = - x^{2} + 3 x - 1

2 x^{2} + 5 x + 7 = x^{2} - 3 x + 1

- 2 x^{2} + 5 x + 7 = x^{2} - 3 x + 1

1003067804

Level:

For

x \in [4; \infty)

choose the correct form of the equation

| - x^{2} + 3 x + 4 | = | - 2 x^{2} + 11 x - 12 |

that does not contain an absolute value.

x^{2} - 3 x - 4 = 2 x^{2} - 11 x + 12

x^{2} - 3 x - 4 = - 2 x^{2} + 11 x - 12

- x^{2} + 3 x + 4 = 2 x^{2} - 11 x + 12

- x^{2} + 3 x + 4 = - 2 x^{2} + 11 x - 12

1003067805

Level:

For

x \in [- 3; 5]

find the solution set of the following equation.

| (x + 3) (x - 5) | = 5

{1 - \sqrt{11}; 1 + \sqrt{11}}

{1 - \sqrt{21}; 1 + \sqrt{21}}

{- 3; 5}

{1 - \sqrt{21}; 1 - \sqrt{11}; 1 + \sqrt{11}; 1 + \sqrt{21}}

1003067806

Level:

Find the solution set of the following equation.

| (x - 1) (x + 2) | = 4

{- 3; 2}

{2}

{- 2; 3}

{- 2}

1003067807

Level:

Find the solution set of the following equation.

2 x^{2} + 4 x - 30 = | 2 x^{2} + 4 x - 30 |

(- \infty; - 5] \cup [3; \infty)

[- 5; 3]

(- \infty; - 3] \cup [5; \infty)

[- 3; 5]

1003067808

Level:

Find the solution set of the following equation.

- 2 x^{2} + 5 x + 3 = | - 2 x^{2} + 5 x + 3 |

[- \frac{1}{2}; 3]

[- 5; 3]

(- \infty; - \frac{1}{2}] \cup [3; \infty)

(- \infty, - 3] \cup [5, \infty)

1003067810

Level:

Find the solution set of the following equation.

| x - 4 | \cdot (x + 4) = 4

{- 2 \sqrt{3}; 2 \sqrt{3}; 2 \sqrt{5}}

{- 4; 4}

{- 2 \sqrt{3}; 2 \sqrt{3}}

{2 \sqrt{3}; 2 \sqrt{5}}

{- 2 \sqrt{5}; - 2 \sqrt{3}; 2 \sqrt{3}; 2 \sqrt{5}}

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Quadratic equations and inequalities

9000034910

9000039004

1003067802

1003067803

1003067804

1003067805

1003067806

1003067807

1003067808

1003067810

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