Quadratic equations and inequalities

Domains of Expressions

Submitted by ladislav.foltyn on Sat, 03/02/2019 - 16:56

Sums of Roots of Equations

Submitted by ladislav.foltyn on Mon, 02/18/2019 - 10:57

Quadratic and Rational Equations

Submitted by ladislav.foltyn on Mon, 02/18/2019 - 10:03

1003162910

Level:

Find the sum of all the roots of the equation

| x^{2} + 2 x | - 6 = | 3 x |

- 3

9

0

- 2

1003187313

Level:

Which of the given sets contains exactly all negative integers that satisfy the inequality

\sqrt{(2 x - 8)^{2}} < 14

{- 2; - 1}

{- 3; - 2; - 1}

{- 10; - 9; - 8; - 7; - 6; - 5; - 4; - 3; - 2; - 1}

{- 4; - 3; - 2; - 1}

1003124107

Level:

Find the roots of the following equation using Vieta’s formulas.

x^{2} - 11 x + 10 = 0

{1; 10}

{- 11; - 1}

{1; 11}

{- 1; 10}

1003124106

Level:

Find the roots of the following equation using Vieta’s formulas.

x^{2} - 8 x + 15 = 0

{3; 5}

{- 3; - 5}

{- 5; 3}

{- 3; 5}

1003124105

Level:

Find the sum of the roots of the following equation. Use Vieta’s formulas, don’t solve the equation.

x^{2} - x - 12 = 0

1

- 1

- 12

12

1003124104

Level:

The following equation has roots

- 3

and

- 2

. Find the value of the constant

c

x^{2} + b x + c = 0

6

- 3

- 2

- 6

1003124103

Level:

The following equation has roots

- 1

and

5

. Find the value of the constant

c

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

- 5

4

- 1

1

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Quadratic equations and inequalities

Domains of Expressions

Sums of Roots of Equations

Quadratic and Rational Equations

1003162910

1003187313

1003124107

1003124106

1003124105

1003124104

1003124103

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