Imaginary Roots and Quad Formula

Solve.
4x² - 7 = -10

• x = ± (3i)/2
• x = ± (i√3)/2
• x = ± (i√3)/4
• x = ± (i√6)/4

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve.
 25x² + 18 = 2

• x = ± (i√4)/25
• x = ± (-4)/5
• x = ± (-8)/5
• x = ± (4i)/5

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve

 $2x^2+4x\ +10=0$  

Simplify answers

•  $-4\ \pm8i$  

•  $-1\pm2i$  

•  $\frac{-4\ \pm8i}{4}$  

•  $\pm8i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

i¹³

• -1
• 1
• i
• -i

Tags

CCSS.HSN.CN.A.2

 $x^2-6x\ +12\ =0$ 

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

•  $3\pm i\sqrt{3}$ 

•  $3\pm\ \sqrt{3}$ 

•  $\frac{6\pm\sqrt{-12}}{2}$ 

•  $3\pm i$ 

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

 $-x^2+6x\ -10\ =0$  

Solve the given equation using the Quadratic Formula. Make sure you fully simplify your answer.

•  $\frac{-6\pm\sqrt{76}}{-2}$ 

•  $3\pm i$ 

•  $-3\pm i$ 

•  $\frac{6\pm\sqrt{76}}{-2}$ 

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which of the following is equivalent to  $\sqrt{-128}$ ?

•  $8\sqrt{2}$  

•  $8i$  

•  $-8\sqrt{2}$  

•  $8i\sqrt{2}$  

The sum  $\sqrt{-9}+\sqrt{-16}$ is equal to

•  $5$  

•  $5i$  

•  $7i$  

•  $7$  

Tags

CCSS.HSN.CN.A.2

Which of the following powers of  $i$  is not equal to one?

•  $i^{16}$  

•  $i^{26}$  

•  $i^{32}$  

•  $i^{48}$  

Tags

CCSS.HSN.CN.A.2

What are the solutions to the quadratic function:  $y=x^2-4x+5$  

•  $-2\pm i$  
  

•  $2\pm i$  

•  $2\pm6i$  

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7