Completing the square:1.Consider the equation x 2+y 2 = 4x. Use the method of completing the square to show that this equation is equivalent to (x − 2)2 + y 2 = 4. (This calculation was used in Example 4.) 2. Find the center and radius of the circle with equation                         x 2 + y 2 + 6x − 8y − 44 = 0 by completing the square.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.5: Solving Quadratic Equations By Completing The Square
Problem 42HP
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Completing the square:
1.Consider the equation x 2+y 2 = 4x. Use the method of completing the square to show that this equation is equivalent to (x − 2)2 + y 2 = 4. (This calculation was used in Example 4.)


2. Find the center and radius of the circle with equation

                        x 2 + y 2 + 6x − 8y − 44 = 0 by completing the square.

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