Complex Numbers and Complex Solutions

Which number is the discriminant of a quadratic equation whose roots are real, unequal, and irrational?

• 0

• -5

• 7

• 4

How many real number solutions does  $4x^2+2x+5=0$  have?

• one

• two

• zero

• infinitely many

What is the solution set of the equation  $x^2+9=0$  ?

•  $\left\{3,-3\right\}$  

•  $\left\{3i,\ -3i\right\}$  

•  $\left\{-3,-3i\right\}$  

•  $\left\{\ \right\}$  

A solution of the equation  $2x^2+3x+2=0$  

•  $-\frac{3}{4}+\frac{1}{4}i\sqrt{7}$  

•  $-\frac{3}{4}+\frac{1}{4}i$  

•  $-\frac{3}{4}+\frac{1}{4}\sqrt{7}$  

•  $\frac{1}{2}$  

The zeros for  $f\left(x\right)=x^4-4x^3-9x^2+36x$  are

•  $\left\{0,\ 3,\ -3,4\right\}$  

•  $\left\{0,3,4\right\}$  

•  $\left\{0,-3,3,-4\right\}$  

•  $\left\{0,3,-4\right\}$  

Given  $f\left(x\right)=x^3-2x^2+4x-8$  

•  $2,-2$  

•  $2$  only

•  $2i,2$  

•  $-2i,\ 2i,\ 2$  

 $\left(3-4i\right)+\left(6+7i\right)$  

•  $9\ +3i$  

•  $9-3i$  

•  $-9-3i$  

•  $-3+11i$  

 $\left(7+3i\right)-\left(-9+i\right)$  

•  $-16-2i$  

•  $16-2i$  

•  $16+2i$  

•  $-2+4i$  

 $\left(8-3i\right)\left(3+2i\right)$  

•  $30-7i$  

•  $18-25i$  

•  $-6i^2+7i+24$  

•  $30+7i$  

 $\frac{2}{5-3i}$  

•  $\frac{5}{8}-\frac{3}{8}i$  

•  $\frac{5}{8}+\frac{3}{8}i$  

•  $\frac{5}{17}+\frac{3}{17}i$  

•  $\frac{5}{17}-\frac{3}{17}i$