Kotik Discriminant

Kotik Discriminant

Assessment

Flashcard

Mathematics

8th - 11th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is a value calculated from the coefficients of a quadratic equation, given by the formula b² - 4ac.

2.

FLASHCARD QUESTION

Front

How do you calculate the discriminant for the equation 6x² − 2x − 3 = 0?

Back

For the equation 6x² − 2x − 3, a = 6, b = -2, c = -3. The discriminant is (-2)² - 4(6)(-3) = 4 + 72 = 76.

3.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate about the solutions of a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real solutions.

4.

FLASHCARD QUESTION

Front

What does a zero discriminant indicate about the solutions of a quadratic equation?

Back

A zero discriminant indicates that the quadratic equation has exactly one real solution (a repeated root).

5.

FLASHCARD QUESTION

Front

What does a negative discriminant indicate about the solutions of a quadratic equation?

Back

A negative discriminant indicates that the quadratic equation has no real solutions (the solutions are complex).

6.

FLASHCARD QUESTION

Front

What is the formula for the discriminant?

Back

The formula for the discriminant is b² - 4ac.

7.

FLASHCARD QUESTION

Front

Use the discriminant to determine the number of solutions for -2x² − x − 1 = 0.

Back

For -2x² − x − 1, a = -2, b = -1, c = -1. The discriminant is (-1)² - 4(-2)(-1) = 1 - 8 = -7, indicating no solutions.

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