Higher degree equations and inequalities

9000029308

Level:

Find the solution set of the following inequality.

x^{3} + 4 x < 0

(- \infty; 0)

(2; \infty)

R

\emptyset

(0; \infty)

9000029309

Level:

Find the solution set of the following inequality.

(x - 1) (x - 2) (x - 3) < (x - 1) (x - 2)

(- \infty; 1) \cup (2; 4)

\emptyset

(0; 3)

(- \infty; - 3) \cup (3; \infty)

(- 3; 3)

9000029310

Level:

Find the solution set of the following inequality.

(x + 2) (x^{2} + 4 x + 3) > x^{2} + 5 x + 6

(- 3; - 2) \cup (0; \infty)

(- \infty; - 3) \cup (3; \infty)

(- \infty; - 1) \cup (1; \infty)

(- 1; 1)

R

9000031001

Level:

Find the sum of all real roots of the following equation.

(3 x - 1) (2 x + 1) (4 x^{2} + 3 x - 1) = 0

- \frac{11}{12}

- \frac{1}{12}

- \frac{1}{6}

\frac{1}{6}

9000031002

Level:

One of the solutions of the following equation is

x = 2

. Find the set of all solutions.

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

{- 3; - 1; 2}

{- 3; - 1}

{- 3; 0; 2}

{- 1; 2; 3}

9000031003

Level:

Assuming

x \in R

, solve the following algebraic equation.

x^{4} + 4 x^{2} - 5 = 0

{- 1; 1}

{1}

{- \sqrt{5}; - 1; 1; \sqrt{5}}

\emptyset

9000031004

Level:

Assuming

y \in R

, find the number of the solutions of the following algebraic equation.

y^{4} + 5 y^{2} + 6 = 0

0

4

3

2

9000031005

Level:

Assuming

x \in R

, solve the following algebraic equation.

(x + 1)^{4} - 5 (x + 1)^{2} + 4 = 0

{- 3; - 2; 0; 1}

{1; 4}

{- 2; - 1; 1; 2}

{- 1; 3}

9000031008

Level:

Assuming

x \in R

, solve the following equation.

4 x^{3} - 3 x^{2} - x = 0

{- \frac{1}{4}; 0; 1}

{0; 1; 4}

{1; 4}

{0}

9000031009

Level:

Find the sum of the solutions of the following equation.

6 (3 x + 1) (2 x^{2} + 3 x - 2) = 0

- \frac{11}{6}

- \frac{7}{6}

- \frac{1}{2}

\frac{11}{6}

« first
‹ previous
…
2
3
4
5
6
7
8
9
10
next ›
last »

Higher degree equations and inequalities

9000029308

9000029309

9000029310

9000031001

9000031002

9000031003

9000031004

9000031005

9000031008

9000031009

Events

Akce

Interests

Zajímavosti

About portal

O portálu