Solving Quadratic Equations using Any Method

Solving Quadratic Equations using Any Method

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

2.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is the part of the quadratic formula under the square root, given by D = b² - 4ac. It determines the nature of the roots of the equation.

3.

FLASHCARD QUESTION

Front

How do you determine the number of real solutions using the discriminant?

Back

If the discriminant (D) is greater than 0, there are two distinct real solutions. If D equals 0, there is one real solution (a repeated root). If D is less than 0, there are no real solutions.

4.

FLASHCARD QUESTION

Front

What are the solutions to the equation 2x² + 3x + 1 = 0?

Back

Using the quadratic formula, the solutions are x = -1 and x = -0.5.

5.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

6.

FLASHCARD QUESTION

Front

How can you solve a quadratic equation by factoring?

Back

To solve by factoring, express the quadratic in the form (px + q)(rx + s) = 0, then set each factor to zero and solve for x.

7.

FLASHCARD QUESTION

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

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