7/25/2019 Solving a Quadratic by Completing Square

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Kwadwo Amankwa - 04/09/2015 1:02:24 AM PDT

PreCalculus / Amankwa, Kwadwo (Amankwa)

Solving a quadratic equation by completing the square: Exact answers

Solve the quadratic equationby completing the square.

First, choose the appropriate form and fill in the blanks with the correct numbers.Then, solve the equation. If there is more than one solution, separate them with

commas.

To solve by completing the square, we must first rewrite the equation in one of these

forms.

or

Here is how we do it.

Keeping only the terms in and on the

left-hand side

Form:

Solution:

+x2

=

x

2=

=x

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7/25/2019 Solving a Quadratic by Completing Square

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Adding to both sides

Writing the left-hand side as a perfect square

We then solve the equation.

or

Here is the answer.

Copyright 2015 UC Regents and ALEKS Corporation

Form:

Solution:

+x 22

= 2

x

2=

=x ,+2 2 2 2

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