Completing the Square to Solve Quadratic Equations

Completing the Square to Solve Quadratic Equations

Assessment

Interactive Video

Mathematics

University

Hard

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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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