Learn to describe and solve for the zeros using completing the square

Learn to describe and solve for the zeros using completing the square

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

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The video tutorial explores solving a quadratic equation by factoring, quadratic form, and completing the square. Initial attempts at factoring are unsuccessful, leading to the use of completing the square. The process involves isolating variables, factoring out constants, and using the formula B/2 squared. The solution is simplified to find the roots, which are identified as irrational due to the presence of sqrt 2. The tutorial concludes by comparing the solution to what would be obtained using the quadratic formula.

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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

Explain the process of isolating variables in the context of completing the square.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What do you need to do if there is a coefficient in front of the quadratic variable?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the value to add to both sides when completing the square?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the types of solutions you can have for a quadratic equation, and how do you identify them?

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