3.3 - Solving Quadratics with Complex Solutions

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 describe the number and type of roots: 5x²-2x+4=0

• 76; 2 real

• -76; 2 real

• -76; 2 complex

• 76; 2 complex

Tags

CCSS.HSA-REI.B.4B

Solve -2x² + 4x = 9

• (-4 - i√56)/-4 , (-4 + i√56)/-4

• (2 - i√-56)/2 , (2 + i√-56)/2

• (2 - i√-14)/2 , (2 + i√-14)/2

• (2 - √14)/2 , (2 + √14)/2

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Which is a solution to x² - 4x + 5 = 0

• 2 + i
• 2i
• 2 - 2i
• -2 - i

Tags

CCSS.HSN.CN.A.3

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41
• X= 35 or 47
• X = −6 + √41 or  −6 − √41
• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B

2x² – 6x + 5 = 0 

• x=3/2±i/2
• x=3 ± i/2
• x=3/2 ± i
• x=3±i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7