The Modulus Of A Complex Number

Directions: Using the digits 0 to 9 at most one time each, place a digit in each box to find an odd modulus, an even modulus, and the smallest possible modulus.

Hint

Consider Pythagorean Triples.

Answer

|(3+8i) + (6+4i)| = 15
|(7+8i) + (9+4i)| = 20
|(1+2i) + (5+6i)| = 10

Source: Mark Ward

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4 comments

  1. yu neede to mack tis alot eesier way t0 harrd

  2. David Campbell

    |(5 + 4i) + (0 + 8i)| = 13.

    Consider removing the third solution as the number 1 is used twice.

  3. urm what the sigma

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