Higher degree equations and inequalities

9000019803

Level:

Find the solution set of the following equation.

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

{- 2; - 1; 1; 2}

{- 1; 1}

{- 2; 2}

{1; 2}

9000019804

Level:

Assuming

x \in R

, find the solution set of the following equation.

x^{4} - 16 = 0

{- 2; 2}

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

{- 4; 4}

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

9000019801

Level:

Assuming

x \in N

, find the solution set of the following equation.

x^{3} - 6 x^{2} + 9 x = 0

{3}

\emptyset

{0; 3}

{- 3; 3}

9000019802

Level:

Assuming

x \in N

, find the solution set of the following equation.

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

\emptyset

{0}

{2}

{0; \frac{3}{2}}

9000019805

Level:

Assuming

x \in R

, find the solution set of the following equation.

x^{4} + 2 x^{2} + 1 = 0

\emptyset

{- 1; 1}

{- 2; 2}

{0}

9000019806

Level:

Find the smallest integer solution of the following equation.

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

- 1

0

1

2

9000019807

Level:

Assuming

x \in R

, find the solution set of the following equation.

(3 x + 2) (x \sqrt{2} + 1) (x^{2} + 1) = 0

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

{- \frac{2}{3}; \frac{1}{\sqrt{2}}}

{\frac{2}{3}; \frac{1}{\sqrt{2}}}

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

9000019809

Level:

Find the factorization of the following equation.

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

(x + 3) (x + 1) (x - 1) = 0

(x - 3) (x + 1) (x - 1) = 0

(x + 3) (x - 3) (x - 1) = 0

(x + 3) (x - 3) (x + 1) = 0

9000019810

Level:

Find the factorization of the following equation.

5 x^{4} - 30 x^{2} + 40 = 0

5 (x - \sqrt{2}) (x + \sqrt{2}) (x - 2) (x + 2) = 0

(x - \sqrt{2}) (x + \sqrt{2}) (x - 2) (x + 2) = 0

5 x (x - \sqrt{2}) (x + \sqrt{2}) (x - 2) = 0

5 x (x - \sqrt{2}) (x + \sqrt{2}) (x + 2) = 0

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Higher degree equations and inequalities

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