√45 is the distance between which of the following complex numbers?

Question

√45 is the distance between which of the following complex numbers?

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Thiên Hương 1 month 2021-08-13T21:06:21+00:00 1 Answers 0 views 0

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    2021-08-13T21:08:11+00:00

    Step-by-step explanation:

    we don’t see the complex numbers.

    so, we cannot check their distances.

    a suspicion, though.

    sqrt(45) a distance between 2 complex numbers is

    sqrt(a² + b²).

    so,

    a² + b² = 45

    a nice combination of whole square numbers would be 6 and 3.

    6² + 3² = 36 + 9 = 45

    if that is the case, then that would mean one of the following committed numbers

    6 + 3i

    3 + 6i

    -6 + 3i

    6 – 3i

    -6 – 3i

    -3 + 6i

    3 – 6i

    -3 – 6i

    one of these numbers must be the result of the subtraction of the 2 provided complex numbers.

    remember

    (a + bi) – (c + di) = a-c + (b-d)i

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