Solving Equations with Imaginary Numbers

Why do we get imaginary numbers?

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CCSS.HSN.CN.A.1

Using your calculator, evaluate i¹³

• -1

• 1

• i

• -i

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CCSS.HSN.CN.A.2

Using your calculator, evaluate i⁷

• -1

• 1

• i

• -i

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CCSS.HSN.CN.A.2

Using your calculator, evaluate i²

• -1

• 1

• i

• -i

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CCSS.HSN.CN.A.1

• 10
• -10
• 10i
• -10i

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CCSS.HSN.CN.A.1

(5x – 2i) + (–7x + 8i)

• –2x + 6i

• 12x + 6i

• –35x – 16i²

• –35 – 16i

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CCSS.HSN.CN.A.2

Using your calculator, evaluate i^24

• -1

• 1

• i

• -i

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CCSS.HSN.CN.A.2

If the discriminant is negative, then the quadratic has:

• Real Solution

• Real Solutions

• Half a Solution

• Imaginary Solutions

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CCSS.HSA-REI.B.4B

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

• 101, 2 real roots

• 3, 2 real roots

• -101, 2 imaginary roots

• -3, 2 imaginary roots

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CCSS.HSA-REI.B.4B

Simplify √-4

• 2i

• -2i

• 2

• 4i