10.2 Solve quadratic equations by completing the square  (Page 4/5)

$a^2+10a$

$b^2+12b$

$m^2+18m$

$n^2+16n$

$m^2-24m$

$n^2-16n$

$p^2-22p$

$q^2-6q$

$x^2-9x$

$y^2+11y$

$p^2-\frac{1}{3}p$

$q^2+\frac{3}{4}q$

$v^2+6v=40$

$w^2+8w=65$

$u^2+2u=3$

$z^2+12z=\mathrm{-11}$

$c^2-12c=13$

$d^2-8d=9$

$x^2-20x=21$

$y^2-2y=8$

$m^2+4m=\mathrm{-44}$

$n^2-2n=\mathrm{-3}$

$r^2+6r=\mathrm{-11}$

$t^2-14t=\mathrm{-50}$

$a^2-10a=\mathrm{-5}$

$b^2+6b=41$

$u^2-14u+12=\mathrm{-1}$

$z^2+2z-5=2$

$v^2=9v+2$

$w^2=5w-1$

$\left(x+6\right)\left(x-2\right)=9$

$\left(y+9\right)\left(y+7\right)=79$

$3m^2+30m-27=6$

$2n^2+4n-26=0$

$2c^2+c=6$

$3d^2-4d=15$

$2p^2+7p=14$

$3q^2-5q=9$

Rafi is designing a rectangular playground to have an area of 320 square feet. He wants one side of the playground to be four feet longer than the other side. Solve the equation $p^2+4p=320$ for $p$ , the length of one side of the playground. What is the length of the other side?

Yvette wants to put a square swimming pool in the corner of her backyard. She will have a 3 foot deck on the south side of the pool and a 9 foot deck on the west side of the pool. She has a total area of 1080 square feet for the pool and two decks. Solve the equation $\left(s+3\right)\left(s+9\right)=1080$ for $s$ , the length of a side of the pool.

Solve the equation $x^2+10x=\mathrm{-25}$ ⓐ by using the Square Root Property and ⓑ by completing the square. ⓒ Which method do you prefer? Why?

Solve the equation $y^2+8y=48$ by completing the square and explain all your steps.