Create an identity using imaginary numbers, and show that the identity is true.

Question

Mathematics

Camilla Bradshaw

12 May, 23:37

Create an identity using imaginary numbers, and show that the identity is true.

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Answers (1)

Know the Answer?

Sage Meza · Answer 1

See below.

Step-by-step explanation:

(3 - 2i) ^2 ≡ 5 - 12i

Proof:

(3 - 2i) ^2 = 3 (3 - 2i) - 2i (3 - 2i)

= 9 - 6i - 6i + 4i^2

= 9 - 12i + 4 (-1)

= 9 - 12i - 4

= 5 - 12i.