Complex solutions of Quadratics

What is the discriminant of the quadratic formula?

• b²-4a
• b²-4ac
• b-4ac
• b²-ac

Tags

CCSS.HSA-REI.B.4B

If the discriminant equals 0, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA-REI.B.4B

If the discriminant is negative, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is positive, then the quadratic has:

• 1 Real Solution
• 2 Real Solutions
• Half a Solution
• No Real Solution

Tags

CCSS.HSA-REI.B.4B

Solve x² - 5x + 10 = 0

• (5 - i√15)/2  ,  (5 + i√15)/2
• (5 - √15)/2  ,  (5 + √15)/2
• (5 - i√65)/2  ,  (5 + i√65)/2
• (5 - √65)/2  ,  (5 + √65)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Find the value of the discriminant and state the nature of the roots.  $y=x^2+7x-4$  

• -63, Two Imaginary Solutions

• -63, Two Real Solutions

• 65, Two Real Solutions

• 65, Two Imaginary Solutions

Find the value of the discriminant and state the nature of the roots. 
  $y=3x^2-5x+9$  

• -33, Two Imaginary Solutions

• -65, Two Imaginary Solutions

• -83, Two Imaginary Solutions

• -63, Two Imaginary Solutions

Simplify $\sqrt{-50}$ . Make sure complex numbers are in standard form. 

•  $\pm i\sqrt{50}$  

•  $\pm5\sqrt{-2}$  

•  $\pm5i\sqrt{2}$  

•  $\pm25i\sqrt{2}$  

Simplify:
-3i(4 + 2i)

• 6 - 12i
• 6 + 12i
• -12i - 6i²
• -12i + 6i²

Tags

CCSS.HSA.APR.A.1

i¹³

• -1
• 1
• i
• -i

Tags

CCSS.HSN.CN.A.1