10.1 Solve quadratic equations using the square root property  (Page 3/5)

$a^2=49$

$b^2=144$

$r^2-24=0$

$t^2-75=0$

$u^2-300=0$

$v^2-80=0$

$4m^2=36$

$3n^2=48$

$x^2+20=0$

$y^2+64=0$

$\frac{2}{5}{a}^2+3=11$

$\frac{3}{2}{b}^2-7=41$

$7p^2+10=26$

$2q^2+5=30$

${\left(x+2\right)}^2=9$

${\left(y-5\right)}^2=36$

${\left(u-6\right)}^2=64$

${\left(v+10\right)}^2=121$

${\left(m-6\right)}^2=20$

${\left(n+5\right)}^2=32$

${\left(r-\frac{1}{2}\right)}^2=\frac{3}{4}$

${\left(t-\frac{5}{6}\right)}^2=\frac{11}{25}$

${\left(a-7\right)}^2+5=55$

${\left(b-1\right)}^2-9=39$

${\left(5c+1\right)}^2=\mathrm{-27}$

${\left(8d-6\right)}^2=\mathrm{-24}$

$m^2-4m+4=8$

$n^2+8n+16=27$

$25x^2-30x+9=36$

$9y^2+12y+4=9$

$2r^2=32$

$4t^2=16$

${\left(a-4\right)}^2=28$

${\left(b+7\right)}^2=8$

$9w^2-24w+16=1$

$4z^2+4z+1=49$

$a^2-18=0$

$b^2-108=0$

${\left(p-\frac{1}{3}\right)}^2=\frac{7}{9}$

${\left(q-\frac{3}{5}\right)}^2=\frac{3}{4}$

$m^2+12=0$

$n^2+48=0$

$u^2-14u+49=72$

$v^2+18v+81=50$

${\left(m-4\right)}^2+3=15$

${\left(n-7\right)}^2-8=64$

${\left(x+5\right)}^2=4$

${\left(y-4\right)}^2=64$

$6c^2+4=29$

$2d^2-4=77$

${\left(x-6\right)}^2+7=3$

${\left(y-4\right)}^2+10=9$

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 $3s^2=48$ 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 $4s^2=64$ to find $s$ , the length of the sides of the windows.

Explain why the equation $x^2+12=8$ has no solution.

Explain why the equation $y^2+8=12$ has two solutions.