Solve by completing the square

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What is the process of completing the square?

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Completing the square is a method used to solve quadratic equations by rewriting the equation in the form of a perfect square trinomial, allowing for easier solutions.

Tags

CCSS.HSA-REI.B.4B

Front

What is a perfect square trinomial?

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Tags

CCSS.HSA.APR.C.4

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Back

Tags

CCSS.HSA-REI.B.4B

Front

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

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The first step is to move the constant term to the other side of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

What do you do after moving the constant term when completing the square?

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Next, take half of the coefficient of the linear term, square it, and add it to both sides of the equation.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic formula?

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Tags

CCSS.HSA-REI.B.4B

Front

How do you derive the quadratic formula from completing the square?

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Start with the standard form of a quadratic equation, move the constant to the other side, complete the square, and solve for x.

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the discriminant in the quadratic formula?

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Tags

CCSS.HSA-REI.B.4B

Front

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex form of a quadratic equation?

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