How to apply the quadratic formula to find one solution

How to apply the quadratic formula to find one solution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a quadratic equation using the quadratic formula. It begins by introducing the formula and the importance of having the equation in standard form. The tutorial then identifies the coefficients A, B, and C, and calculates the discriminant to determine the nature of the solutions. Finally, it demonstrates solving the equation using the quadratic formula, showing that when the discriminant is zero, there is only one real solution.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Identify the roots of the equation

Calculate the sum of coefficients

Graph the equation

Convert the equation to standard form

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the discriminant help determine in a quadratic equation?

The number of real solutions

The axis of symmetry

The y-intercept

The vertex of the parabola

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the discriminant calculated in a quadratic equation?

A + B + C

B^2 - 4AC

A^2 + B^2 - C^2

2A + 3B - C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when the discriminant is zero?

Two distinct real solutions

Infinite solutions

No real solutions

One real solution

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the quadratic formula, what does the term 'opposite of B' refer to?

The absolute value of B

The negative of B

The reciprocal of B

The square of B