Higher degree equations and inequalities

9000031010

Level:

Identify a true statement on the following equation.

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

The equation has three solutions in

R

The equation does not have solution in

R

The equation has five solutions in

R

The equation has one solution in

R

Level:

The following equation has solutions

x_{1} = 1

and

x_{2} = 3

. Find the sum of the remaining real solutions.

x^{4} - 12 x^{3} + 47 x^{2} - 72 x + 36 = 0

8

- 1

3

5

Level:

The following equation has solution

x_{1} = 2

and

x_{2} = 4

. Find the sum of the remaining real solutions.

x^{4} - 6 x^{3} - x^{2} + 54 x - 72 = 0

0

- 1

1

2

Level:

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

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

- 1

0

5

6

Level:

Find the solution set of the following inequality.

x^{3} - 3 x^{2} + 3 x - 1 < 0

(- \infty; 1)

\emptyset

R

(3; \infty)

Level:

The following equation has a double solution

x = 1

. Find all solutions.

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

K = {- 2; 1}

K = {- 2; 1; 2}

K = {- 2; 0; 1}

another answer

Level:

Find the sum of the solutions of the following equation.

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

- 2

3

- 3

- 1