Complex no.s - circles

[Greatness]

How come the equation is translated 2 units right, but is translated 1 right and up??
Also how come there's a minus sign in the middle of this eqn ?

[TrueTears]

a+bi, remember a represents the real ordinate and b represents the complex ordinate on the argand diagram. The geometric interpretation of |a-b|=x is that the point a and b are x units apart.

Use the same intuition here, it just means the complex number z is 2 units away from the complex number on the argand diagram.

[Greatness]

Im saahhhhh noob... -.- Can you explain it again but differently? LOL

[luffy]

Instead of looking at it that way, view translations in a general sense.
Example:



let z = x + yi and (a + bi) is a complex constant.









You can see that the graph of has been translated 'a' units in the positive direction of the x-axis (i.e. right) and 'b' units in the positive direction of the y-axis (i.e. up).

So, in your question:

is translated unit right and units up from the equation .

Hope I helped.

[Greatness]

 If i have |z-1| + |z+1| = 3
When i sub in z= x + iy and you get the modulus stuff, why is that we have to subtract one of the terms from each side, then do the squaring and expanding etc?

[vea]

That just makes the whole squaring process easier so that after squaring with the perfect square rule, the middle term won't be two surds multiplied with each other.

[Greatness]

My brain is hatin maths today
So continuing from this question, |z-1| + |z+1| = 3
i eventually get to this stage:

Why is that we dont square the 3 and the root separately? I.e Why do we square the terms together as a whole?
HATIN MATHS.

[pi]

Just butting in, but I like to think of these as loci. Saves me all the algebra



(check a GMA textbook if you need refreshing, then apply it here)

[TrueTears]

My brain is hatin maths today
So continuing from this question, |z-1| + |z+1| = 3
i eventually get to this stage:

Why is that we dont square the 3 and the root separately? I.e Why do we square the terms together as a whole?
HATIN MATHS.

coz a^2+b^2 =/= (a+b)^2

[golden]

My brain is hatin maths today
So continuing from this question, |z-1| + |z+1| = 3
i eventually get to this stage:

Why is that we dont square the 3 and the root separately? I.e Why do we square the terms together as a whole?
HATIN MATHS.

Look at it this way:

2 + 4 = 6
Squaring both sides,
(2 + 4)^2 = 36

Expand both sides.

36 = 36

Doing it the other way:
2 + 4 = 6
2^2 + 4^4 does not equal 36.

[Greatness]

Hmmm okay lol, hopefully maths is more friendly towards me tomorrow Thanks!!