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cheating53
16.10.2019 •
Mathematics
Which complex number has a distance of the square root of 17 from the origin on the complex plane?
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Ответ:
which part is the real one and which part is the imaginary one,
and we also don't know the signs of the real or imaginary parts.
Now that I think about it, we don't even know the angle.
The point in the complex plane can be any point on the circle
that's centered at the origin and has a radius of 17.
So I can give you the complex number like this:
It can be ANY complex number A + iB
as long as 'A' and 'B' meet these
requirements:
-- 'A' and 'B' can both be positive or negative
-- A² + B² = 17.
There are an infinite number of possibilities.
A few of them are ...
-1 + 4i
-1 - 4i
1 + 4i
1 - 4i
-4 + i
-4 - i
4 + i
4 - i
√6 + i√11 = 17
etc.
Ответ:
es de 7 la circunferencia