Chapter 10

Solve the following quadratic equations. \(a^{2}=49\)

Solve the following quadratic equations. \(b^{2}=144\)

Solve the following quadratic equations. \(r^{2}-24=0\)

Solve the following quadratic equations. \(t^{2}-75=0\)

Solve the following quadratic equations. \(u^{2}-300=0\)

Solve the following quadratic equations. \(v^{2}-80=0\)

Solve the following quadratic equations. \(4 m^{2}=36\)

Solve the following quadratic equations. \(x^{2}+20=0\)

Solve the following quadratic equations. \(y^{2}+64=0\)

Solve the following quadratic equations. \(\frac{2}{5} a^{2}+3=11\)

Solve the following quadratic equations. \(7 p^{2}+10=26\)

Solve the following quadratic equations. \(2 q^{2}+5=30\)

Solve the following quadratic equations. \((x+2)^{2}=9\)

Solve the following quadratic equations. \((y-5)^{2}=36\)

Solve the following quadratic equations. \((u-6)^{2}=64\)

Solve the following quadratic equations. \((v+10)^{2}=121\)

Solve the following quadratic equations. \((n+5)^{2}=32\)

Solve the following quadratic equations. \(\left(r-\frac{1}{2}\right)^{2}=\frac{3}{4}\)

Solve the following quadratic equations. \(\left(t-\frac{5}{6}\right)^{2}=\frac{11}{25}\)

Solve the following quadratic equations. \((a-7)^{2}+5=55\)

Solve the following quadratic equations. \((5 c+1)^{2}=-27\)

Solve the following quadratic equations. \((8 d-6)^{2}=-24\)

Solve the following quadratic equations. . \(m^{2}-4 m+4=8\)

Solve the following quadratic equations. \(n^{2}+8 n+16=27\)

Solve the following quadratic equations. \(25 x^{2}-30 x+9=36\)

Solve the following quadratic equations. \(9 y^{2}+12 y+4=9\)

Solve using the Square Root Property. \(2 r^{2}=32\)

Solve using the Square Root Property. \(4 t^{2}=16\)

Solve using the Square Root Property. \((a-4)^{2}=28\)

Solve using the Square Root Property. \(9 w^{2}-24 w+16=1\)

Solve using the Square Root Property. \(a^{2}-18=0\)

Solve using the Square Root Property. \(b^{2}-108=0\)

Solve using the Square Root Property. \(\left(p-\frac{1}{3}\right)^{2}=\frac{7}{9}\)

Solve using the Square Root Property. \(\left(q-\frac{3}{5}\right)^{2}=\frac{3}{4}\)

Solve using the Square Root Property. \(m^{2}+12=0\)

Solve using the Square Root Property. \(u^{2}-14 u+49=72\)

Solve using the Square Root Property. \((m-4)^{2}+3=15\)

Solve using the Square Root Property. \((n-7)^{2}-8=64\)

Solve using the Square Root Property. \((x+5)^{2}=4\)

Solve using the Square Root Property. \((y-4)^{2}=64\)

Solve using the Square Root Property. \(6 c^{2}+4=29\)

Solve using the Square Root Property. \(2 d^{2}-4=77\)

Solve using the Square Root Property. \((x-6)^{2}+7=3\)

Solve using the Square Root Property. \((y-4)^{2}+10=9\)

Paola has enough mulch to cover 48 square feet. She wants to use it to make three square vegetable gardens of equal sizes. Solve the equation \(3 s^{2}=48\) to find \(s,\) the length of each garden side.

Kathy is drawing up the blueprints for a house she is designing. She wants to have four square windows of equal size in the living room, with a total area of 64 square feet. Solve the equation \(4 s^{2}=64\) to find \(s\), the length of the sides of the windows.

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. \(m^{2}+18 m\)

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. \(x^{2}-9 x\)

Solve by completing the square. \(v^{2}+6 v=40\)

Solve by completing the square. \(w^{2}+8 w=65\)