Question

Find the missing value when given the modulus. 2. (picture) (in the third quadrant)

Answer 1

Answer:

The value of a is -6.

Step-by-step explanation:

A complex number is defined as

$z=x+iy$

$|z|=|x+iy|=\sqrt{x^2+y^2}$

where, x is real part and iy is imaginary part.

The given equation is

$|a-i|=\sqrt{37}$

Here real part is a and imaginary part is -i. So, x=a and y=-1.

$\sqrt{a^2+(-1)^2}=\sqrt{37}$

Taking square on both the sides.

$a^2+(-1)^2=37$

$a^2+1=37$

Subtract 1 from both the sides.

$a^2=36$

Taking square root on both the sides.

$a=\pm \sqrt{36}$

$a=\pm 6$

The value of a is either 6 or -6. But it is given that the picture is in third quadrant, so the value of a can not be positive.

Therefore the value of a is -6.

Answer 2

Hello, Kana back on for some more questions! :3
let's see what you have now...
what are these questions ._. ...I can't understand hmmm...

Firstly, do you know what the | a - i | stands for? and are you trying to divide?