Unit 3.3c HW: Solving by Square Roots (complex solutions)

Solve; simplify your answer, if necessary.

 $4x^2=-48$  

•  $x=\pm3i\sqrt{2}$  

•  $x=\pm2\sqrt{3}$  

•  $x=\pm2i\sqrt{3}$  

•  $x=2i\sqrt{3}$  

Solve; simplify your answer, if necessary.

 $5\left(x+2\right)^2=-20$  

•  $x=-4,\ 0$  

•  $x=-2\pm2i$  

•  $x=2\pm2i$  

•  $-2\pm i\sqrt{2}$  

Solve; simplify your answer, if necessary.

 $-2x^2+7=105$  

•  $x=7,\ -7$  

•  $x=\pm i\sqrt{7}$  

•  $x=\pm\frac{\sqrt{98}}{2}$  

•  $x=\pm7i$  

Solve; simplify your answer, if necessary.

 $3\left(x-6\right)^2+13=-41$  

•  $x=-6\pm3i\sqrt{2}$  

•  $x=-6\pm2i\sqrt{3}$  

•  $x=6\pm3i\sqrt{2}$  

•  $x=6\pm3\sqrt{2}$  

Solve; simplify your answer, if necessary.

 $-7x^2-6=36$  

•  $x=\pm i\sqrt{6}$  

•  $x=\pm\sqrt{6}$  

•  $x=\pm6i$  

•  $x=i\sqrt{6}$  

Solve; simplify your answer, if necessary.

 $-8\left(x+1\right)^2-17=199$  

•  $x=1\pm3i\sqrt{3}$  

•  $x=-1\pm3\sqrt{3}$  

•  $x=-1\pm3i\sqrt{3}$  

•  $x=-1\pm\sqrt{-27}$  

Solve; simplify your answer, if necessary.
 $-3\left(x+7\right)^2-1=5$  

•  $x=7\pm i\sqrt{2}$  

•  $x=-7\pm i\sqrt{2}$  

•  $x=-7\pm\sqrt{2}$  

•  $x=-7\pm2i$  

Solve; simplify your answer, if necessary.
 $\left(3x+2\right)^2=-54$  

•  $x=\frac{-2\pm3i\sqrt{6}}{3}$  

•  $x=\frac{-2\pm3i\sqrt{2}}{3}$  

•  $x=-2\pm3i\sqrt{2}$  

•  $x=-2\pm3i\sqrt{6}$  

Solve; simplify your answer, if necessary.
 $\left(4x+5\right)^2+6=-14$  

•  $x=\frac{-5\pm2i}{4}$  

•  $x=\frac{-5\pm5i\sqrt{2}}{4}$  

•  $x=\frac{5\pm2i\sqrt{5}}{4}$  

•  $x=\frac{-5\pm2i\sqrt{5}}{4}$  

Solve; simplify your answer, if necessary.
 $-2\left(2x+1\right)^2-5=67$  

•  $x=\frac{-1\pm i\sqrt{6}}{2}$  

•  $x=\frac{-1\pm6i}{2}$  

•  $x=\frac{1\pm6i}{2}$  

•  $x=-1\pm6i\sqrt{2}$