Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Review - Concept Check - Page 133: 20

Answer

In this case you need to add $(\frac{b}{2})^{2}$ on both sides in that case you will have a perfect square. $$(x+3)^{2}=9$$

Work Step by Step

What do you need to add to $ax^{2}+bx$ To complete the square? In this case you need to add $(\frac{b}{2})^{2}$ on both sides in that case you will have a perfect square. Complete the square for the expression $x^{2}+6x$. $$x^{2}+6x$$ $$x^{2}+6x+(\frac{6}{2})^{2}=(\frac{6}{2}^{2}$$ $$x^{2}+6x+9=9$$ $$(x+3)^{2}=9$$
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