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AleksandrR [38]
3 years ago
7

Find all complex number solutions of x^5-1=0

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

x^5 = 1

x = 1^1/5.

We want the five complex roots of 1:-

Writing in polar form we have:

1 ^ 1/5 =  cos(2πk/5) + isin(2πk/5)

The 5 solutions are found by setting k = 0, 1, 2, 3 and 4.

First one = cos 0 + i sin 0 =  1

Second = cos (2π/5 + isin(2π/5)

= 0.3090 + 0.9511i.

The other 3 can be calculated in the same way.

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The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000
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Answer:

see the explanation

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form k=\frac{y}{x} or y=kx

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so

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Part 2 :

The  point  (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

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