Solving with Square Roots and Complex Numbers

Describe the solutions.

• 2 real rational

• 2 real irrational

• 2 imaginary

• 1 real double

Solve the following equation over the set of Complex Numbers.

 $-2\left(x+3\right)^2+5=11$  

•  $-3\pm\sqrt{-3}$  

•  $-3\pm i\sqrt{3}$  

•  $3\pm i\sqrt{3}$  

•  $3\pm3i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Simplify the following Complex Number 

 $\frac{2+3i}{-1-2i}$  

•  $\frac{8-i}{5}$  

•  $\frac{-8+i}{-3}$  

•  $\frac{8-i}{3}$  

•  $\frac{-8+i}{5}$  

Tags

CCSS.HSN.CN.A.3

Simplify the following Complex Number

 $i\left(2+3i\right)^2$  

•  $-12-5i$  

•  $-5i$  

•  $-6-5i$  

•  $-5+12i$  

Tags

CCSS.HSN.CN.C.8

Simplify the following Complex Number.

 $\left(-2+5i\right)-\left(-3-7i\right)$  

•  $1+12i$  

•  $-1-12i$  

•  $-5-2i$  

•  $1-2i$  

Tags

CCSS.HSN.CN.A.2