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zepelin [54]
3 years ago
11

What is a complex series notation that equals one

Mathematics
2 answers:
seropon [69]3 years ago
7 0

2 + i^2 = 1. also i^4 = 1

3 + i^2 = 2 also 2i^4 = 2

4 + i^2 = 3 also 3i^4 = 3

the complex series has a form Z = a + ib, where a is the real number and ib is the imaginary part.

we know i = √-1 so i^2 = -1 and (i^2)^2 = (-1)^2 = 1. or i^4 = 1.

also,

2 + i^2 = 1. since i^2 = -1, 2 + -1 = 2-1 = 1.

if we want to find 2,

3 + i^2 = 2. since we know i^2 will be -1, set the a value to be 1 more the value you need. for example if you want 3, set a to be 4.

for 3.

first make a to be 1 more than 3 which is 4.

3 = 4 + i^2.

Romashka [77]3 years ago
3 0

we know the complex number has standard form a+ib

Inorder to find our answer ib^2 should.be 1

Ex:-

2-i

2:-

\\ \sf\longmapsto 2+2i^2

  • i^4=1
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