Solving Quadratics Complex Solutions

Solve.

x²−2x+11=0

• 1±i√10

• 1±√10

• -1±i√10

• -1±√10

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.HSA-REI.B.4B

CCSS.HSN.CN.C.7

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

• A

• B

• C

• D

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solutions

Tags

CCSS.HSA-REI.B.4B

If the discriminant is positive, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• No Real Solution

Tags

CCSS.HSA-REI.B.4B

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

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

Solve by completing the square:
k² − 12k + 23 = 0

• {6 + √13, 6 - √13}

• {-6 + √13, -6 - √13}

• {6 + √59, 6 - √59}

• {-6 + √59, -6 - √59}

Tags

CCSS.HSA-REI.B.4B

How many solutions would a quadratic have if D < 0?

• 2 Complex Solutions

• 1 Real Solution

• 2 Real Solutions

Tags

CCSS.HSA-REI.B.4B