Solving a quadratic by completing the square | Part 1

Solving a quadratic by completing the square | Part 1

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to solve quadratic equations by completing the square. It begins by discussing why factoring is not suitable for certain equations and introduces the method of completing the square. The process involves creating a perfect square trinomial, which can be factored into a binomial squared. The tutorial walks through the steps of adjusting the equation to form a perfect square trinomial, solving the equation using inverse operations, and finding the final solution. The method is demonstrated with a clear example, emphasizing the importance of maintaining balance in the equation.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in solving a quadratic equation by completing the square?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine if a trinomial is a perfect square trinomial?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What value do you add inside the parentheses to create a perfect square trinomial?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the importance of adding the same value to both sides of the equation when completing the square.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final solution for X when solving the equation using completing the square?

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