Quadratic equations and inequalities

2000004903

Level:

From the given sets identify the one that contains at least one root of the quadratic equation:

2 x^{2} = 18

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

{0; 9; 27}

{- 1; - \frac{1}{3}; 12}

{- 9; - 2; \frac{2}{3}}

2000004902

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

2000004901

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

2000001006

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}

2000001005

Level:

Find the solution set of the equation

x^{2} = 25

{- 5; 5}

{5}

{0; 5}

{- 25; 25}

2000001004

Level:

Find the solution set of the equation

3 x^{2} + 15 x = 0

{- 5; 0}

{- 5}

{0; 5}

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

2000001003

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

2000001002

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

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

2000000705

Level:

Use the given graph of the function

f : y = (x - 2) (x - 3) = x^{2} - 5 x + 6

to solve the inequality

(x - 2) (x - 3) < 0

x \in (2; 3)

x \in R ∖ {2; 3}

x \in (- \infty; 2) \cup (3; \infty)

x \in \emptyset

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Quadratic equations and inequalities

2000004903

2000004902

2000004901

2000001006

2000001005

2000001004

2000001003

2000001002

2000001001

2000000705

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