Question

Which complex number has a distance of StartRoot 17 EndRoot from the origin on the complex plane?

Answer 1

Answer:

4 - i

Step-by-step explanation:

Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i.  Also, we know that  i will not be in the end result, which means that we should have a negative in the result as well.

To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:

$d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}$

So indeed the answer is 4 - i

Answer 2

Answer:

d) 4-i

Step-by-step explanation:

on edge