Answer
$c=\frac{81}{4}$
Work Step by Step
Comparing $x^{2}+9x+c$ with $x^{2}+bx+c$, we see that $b=9$.
The value of $c$ so that it completes the square is
$c=(\frac{b}{2})^{2}=(\frac{9}{2})^{2}=\frac{81}{4}$.
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 9 - Solving Quadratic Equations - 9.4 - Solving Quadratic Equations by Completing the Square - Exercises - Page 511: 10
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