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Solving a quadratic by applying the quadratic formula

Solving a quadratic by applying the quadratic formula

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a quadratic equation using the quadratic formula. It begins by ensuring the equation is in standard form and identifying the coefficients A, B, and C. The tutorial then demonstrates how to calculate the discriminant and use it to determine the nature of the roots. Finally, it shows how to find the real rational roots of the equation, providing a step-by-step guide to solving the quadratic equation.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a quadratic equation using the quadratic formula?

Calculate the sum of coefficients

Ensure the equation is in standard form

Identify the roots of the equation

Find the vertex of the parabola

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to calculate the discriminant in a quadratic equation?

A^2 - B^2 + 4AC

B^2 - 4AC

B^2 + 4AC

A^2 + B^2 - 4AC

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does a discriminant value of 36 indicate about the roots of the quadratic equation?

There are no real roots

There is one real root

There are two complex roots

There are two real rational roots

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you solve for X once you have the discriminant?

Use the formula X = -A ± sqrt(discriminant) / 2B

Use the formula X = B ± sqrt(discriminant) / 2A

Use the formula X = A ± sqrt(discriminant) / 2B

Use the formula X = -B ± sqrt(discriminant) / 2A

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for X if the discriminant is a perfect square?

No solution

Two real rational solutions

One real solution

Two complex solutions

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