Complex Numbers and Operations

Use square roots to solve this equation: x² = -18

• ±√-18

• ±i√18

• ±3i√2

• ±2i√3

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Add:

(5 + 1.2i) + (-6 + 0.8i)

• 11 + 0.4i

• -30.96 - 3.2i

• -1.2 + 1.5i

• -1 + 2i

Subtract:

(3 - 2i) - (-9 + i )

• 12 - 3i

• -6 - i

• -25 + 21i

• 9i

Tags

CCSS.HSA.APR.A.1

Multiply:

3i(5 - 4i)

• 15 - 4i

• 12 + 15i

• 8i + 7i²

• 3i²

Tags

CCSS.HSA.APR.A.1

Multiply:

(5 + 2i)(5 - 2i)

• 10

• 29

• -21

• 20

Tags

CCSS.HSA.APR.A.1

Factor using sum of squares:

4x² + 16

• (2x + 4)(2x - 4)

• (2x + 4i)(2x - 4i)

• (2x + 8)(2x - 8)

• (2x + 8i)(2x - 8i)

Tags

CCSS.HSA.APR.C.4

Simplify:

12

1 - i

• 6 + 6i

• 4 - 2i

• -2 + i

• 12 - 12i

Tags

CCSS.HSA.APR.A.1

Where is the mistake?

• Line 2: Should multiply the numerator by 3 + i

• Line 2: Should multiply the denominator by 1 - i

• Line 3: FOILing error

• Line 4: Answers can't be fractions

Tags

CCSS.HSA.APR.A.1

Solve:

x² + 100 = 0

• 50, -50

• 50i, -50i

• 10, -10

• 10i, -10i

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

y² + 1 = 0

• -i

• -1

• i, -i

• 1, -1

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7