Completing the Square to Solve Quadratic Equations

Completing the Square to Solve Quadratic Equations

Assessment

Interactive Video

Mathematics

University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to use the completing the square method to solve quadratic equations. It begins with an introduction to the method, followed by a detailed example of completing the square for a quadratic expression. The tutorial then demonstrates how to use the completed square form to solve quadratic equations, including a more complex example where the leading coefficient is greater than one. The video emphasizes the importance of rewriting expressions and solving equations using this method.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the general process to complete the square for a quadratic expression?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to rewrite a quadratic expression in the form of (X + P)² + Q.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps should be taken if a quadratic expression cannot be factored into double brackets?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the values of B and C when completing the square?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the completed square form in solving quadratic equations?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the importance of including the subtraction element when completing the square.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you handle a quadratic equation where the coefficient of X² is greater than 1?

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