Unit 5, Lesson 12
Completing the Square (Part 1)
Integrated Math 2
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Select all expressions that are perfect squares. Explain how you know.
Complete the table so that each row has equivalent expressions that are perfect squares.
| standard form | factored form |
|---|---|
One technique for solving quadratic equations is called completing the square. Here are two examples of how Diego and Mai completed the square to solve the same equation.
Diego:
Mai:
Study the examples, then solve these equations by completing the square:
Turning an expression into a perfect square can be a good way to solve a quadratic equation. Suppose we wanted to solve
The expression on the left,
This method of solving quadratic equations is called completing the square. In general, perfect squares in standard form look like
In the example, half of -14 is -7, and
Completing the square is a method of rewriting a quadratic expression or equation.
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