Math II Solving Quadratics with Complex Solutions

If b²-4ac is positive, 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.4

CCSS.HSN.CN.C.9

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.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.C.7

If b²-4ac is 0, 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.4

CCSS.HSN.CN.C.9

What is the discriminant of the quadratic formula?

• b²-4a
• b²-4ac
• b-4ac
• b²-ac

Tags

CCSS.HSA.REI.B.4

Which is a solution to 3x² + 2 = 0

• 1
• (√6/3)i
• (⅔)i
• ⅔

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Which is a solution to (½)x² + 8 = 0

• - 4i
• 16i
• - 16i
• 1

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

Simplify √27

• √27
• 3√3
• √3
• -√3

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSN.CN.A.1

CCSS.HSN.CN.A.2

CCSS.HSN.CN.C.8

How many solutions should a quadratic equation have based on its degree?

• 1
• 2
• 3
• 4

Tags

CCSS.HSA.REI.B.4

CCSS.HSN.CN.C.9

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