Solving Quadratic Equations with Complex Solutions

Solve -2x² + 4x = 9

• (2 - i√14)/2   ,   (2 + i√14)/2

• (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 (½)x² + 8 = 0

• - 4i

• 16i

• - 16i

• 1

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What are the zeros of the function f(x) = x² + 64?

• -8 and 8

• -8i and 8i

• (-√8) i and (√8) i

• -√8  and √8

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

• A
• B
• C
• D

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

• A
• B
• C
• D

If b²-4ac is negative, the quadratic equation has:

• Two real solutions that are different

• Two imaginary solutions that are different

• A real double solution

• An imaginary double solution

Tags

CCSS.HSA-REI.B.4B

Which is a solution to 3x² + 2 = 0

• 1

• (√6/3)i

• (⅔)i

• ⅔

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

How does the quadratic equation show that there should be two complex solutions?

• b²

• ±

• b² - 4ac

• 2a

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

What is the discriminant of the quadratic formula?

• b²-4a

• b²-4ac

• b-4ac

• b²-ac

Tags

CCSS.HSA-REI.B.4B