Chapter 10

Solve by completing the square. \(u^{2}+2 u=3\)

Solve by completing the square. \(z^{2}+12 z=-11\)

Solve by completing the square. \(c^{2}-12 c=13\)

Solve by completing the square. \(d^{2}-8 d=9\)

Solve by completing the square. \(x^{2}-20 x=21\)

Solve by completing the square. \(y^{2}-2 y=8\)

Solve by completing the square. \(m^{2}+4 m=-44\)

Solve by completing the square. \(n^{2}-2 n=-3\)

Solve by completing the square. \(r^{2}+6 r=-11\)

Solve by completing the square. \(t^{2}-14 t=-50\)

Solve by completing the square. \(a^{2}-10 a=-5\)

Solve by completing the square. \(b^{2}+6 b=41\)

Solve by completing the square. \(u^{2}-14 u+12=-1\)

Solve by completing the square. \(z^{2}+2 z-5=2\)

Solve by completing the square. \(v^{2}=9 v+2\)

Solve by completing the square. \(w^{2}=5 w-1\)

Solve by completing the square. \((x+6)(x-2)=9\)

Solve by completing the square. \(3 m^{2}+30 m-27=6\)

Solve by completing the square. \(2 n^{2}+4 n-26=0\)

Solve by completing the square. \(2 c^{2}+c=6\)

Solve by completing the square. \(3 d^{2}-4 d=15\)

Solve by completing the square. \(2 p^{2}+7 p=14\)

Solve by completing the square. \(3 q^{2}-5 q=9\)

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 \(p^{2}+4 p=320\) 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 \((s+3)(s+9)=1080\) for \(s,\) the length of a side of the pool.

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

Solve the equation \(y^{2}+8 y=48\) by completing the square and explain all your steps.

Solve by using the Quadratic Formula. \(4 m^{2}+m-3=0\)

Solve by using the Quadratic Formula. \(4 n^{2}-9 n+5=0\)

Solve by using the Quadratic Formula. \(2 p^{2}-7 p+3=0\)

Solve by using the Quadratic Formula. \(3 q^{2}+8 q-3=0\)

Solve by using the Quadratic Formula. \(p^{2}+7 p+12=0\)

Solve by using the Quadratic Formula. \(r^{2}-8 r-33=0\)

Solve by using the Quadratic Formula. t^{2}+13 t+40=0$

Solve by using the Quadratic Formula. \(3 u^{2}+7 u-2=0\)

Solve by using the Quadratic Formula. \(6 z^{2}-9 z+1=0\)

Solve by using the Quadratic Formula. \(2 a^{2}-6 a+3=0\)

Solve by using the Quadratic Formula. \(5 b^{2}+2 b-4=0\)

Solve by using the Quadratic Formula. \(2 x^{2}+3 x+9=0\)

Solve by using the Quadratic Formula. \(6 y^{2}-5 y+2=0\)

Solve by using the Quadratic Formula. \(v(v+5)-10=0\)

Solve by using the Quadratic Formula. \(3 w(w-2)-8=0\)

Solve by using the Quadratic Formula. \(\frac{1}{3} m^{2}+\frac{1}{12} m=\frac{1}{4}\)

Solve by using the Quadratic Formula. \(\frac{1}{3} n^{2}+n=-\frac{1}{2}\)

Solve by using the Quadratic Formula. \(25 d^{2}-60 d+36=0\)

Solve by using the Quadratic Formula. \(5 m^{2}+2 m-7=0\)

Solve by using the Quadratic Formula. \(8 n^{2}-3 n+3=0\)

Solve by using the Quadratic Formula. \(p^{2}-6 p-27=0\)

Solve by using the Quadratic Formula. \(25 q^{2}+30 q+9=0\)

Solve by using the Quadratic Formula. \(4 r^{2}+3 r-5=0\)