Quadratic equations and inequalities

Quadratic Inequalities II

Submitted by michaela.bailova on Mon, 12/11/2023 - 19:14

Quadratic Inequalities I

Submitted by michaela.bailova on Mon, 12/11/2023 - 16:57

Roots of Quadratic Equations

Submitted by michaela.bailova on Fri, 10/20/2023 - 19:09

Quadratic Trinomial Factorization

Submitted by michaela.bailova on Fri, 10/20/2023 - 18:38

2010007905

Level:

Find all

x

such that the expression

2 x^{2} + 8

is negative.

No such

x

exists.

x \in R

x \in (- 2; 2)

x \in (- \infty; - 2) \cup (2; + \infty)

2010007904

Level:

Find out, how many integer solutions the following inequality has.

x^{2} + 3 x - 1 \leq 0

2010007903

Level:

Choose the interval which contains all the solutions of the following quadratic equation.

6 x^{2} + 13 x + 5 = 0

(- 2; - \frac{1}{2}]

[\frac{1}{2}; 2)

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

(- 1; \frac{5}{3}]

2010007902

Level:

For an integer variable

x

, find the solution set of the following quadratic inequality.

2 x^{2} + 5 x - 12 < 0

{- 3; - 2; - 1; 0; 1}

{- 4; - 3; - 2; - 1; 0; 1}

{- 4; - 3; - 2; - 1; 0; 1; 2}

{- 1; 0; 1; 2; 3}

2010007901

Level:

The solution set of one of the following inequalities is

(- \infty; - 2) \cup (5; \infty)

. Identify this inequality.

x^{2} - 3 x - 10 > 0

x^{2} + 3 x - 10 > 0

x^{2} - 3 x - 10 < 0

x^{2} + 3 x - 10 < 0

2010007305

Level:

One side of a rectangle is

40 %

longer than the other. The length of the diagonal is

\sqrt{666} cm

. Find the area of the rectangle.

315 {cm}^{2}

777 {cm}^{2}

140 {cm}^{2}

135 {cm}^{2}

Quadratic equations and inequalities

Quadratic Inequalities II

Quadratic Inequalities I

Roots of Quadratic Equations

Quadratic Trinomial Factorization

2010007905

2010007904

2010007903

2010007902

2010007901

2010007305

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