Quadratic equations and inequalities

2000001001

Level:

Which of the following equations has the solution set

K = {- 1; 3}

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

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

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

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

Level:

Which of the following equations has the solution set

K = {0; 10}

x^{2} - 10 x = 0

10 x^{2} - x = 0

x^{2} - 10 x = 10

x^{2} + 10 x = 0

Level:

Which of the following equations has the solution set

K = {- \sqrt{3}; \sqrt{3}}

3 x^{2} - 9 = 0

x^{2} + 9 = 0

x^{2} - 9 x = 0

3 x^{2} - 1 = 0

Level:

Find the solution set of the equation

3 x^{2} + 15 x = 0

{- 5; 0}

{- 5}

{0; 5}

{0; \frac{1}{5}}

Level:

Find the solution set of the equation

x^{2} = 25

{- 5; 5}

{5}

{0; 5}

{- 25; 25}

Level:

Find the solution set of the equation

2 (x - 7) (x + \frac{1}{2}) = 0

{- \frac{1}{2}; 7}

{- 7; \frac{1}{2}}

{- 1; 14}

{- 14; 1}

Level:

Choose the equation that has no real roots.

5 x^{2} + 1 = 0

5 x^{2} + x = 0

5 x^{2} - 1 = 0

5 x^{2} - x = 0

Level:

Choose the equation that has two real roots and one of them is

0

3 x^{2} - 10 x = 0

3 x^{2} - 10 = 0

3 x^{2} + 10 = 0

10 x^{2} = 5

Level:

From the given sets identify the one that contains all roots of the quadratic equation:

x^{2} = 5

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

{0; \sqrt{5}}

{\sqrt{5}}

{- 5; 5}

Level:

From the given quadratic equations identify the one that has a double root.

x^{2} - 10 x + 25 = 0

x^{2} - 10 x = 0

x^{2} - 10 = 0

x^{2} - 10 x + 100 = 0