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It might be a bit hard to understand without the diagram but I showed it to my teacher and he said it was correct. |z1|-|z2| ≤ |z1+z2| If |z1| > |z2| |z1| ≤ |z1+z2| + |z2| Statement only holds true for equality when arg(z1)-arg(z2)=pi or arg(z1) = pi + arg(z2) OR z1 = -kz2

Nevermind figured it out, was easier than I thought

I'm not sure how to go about this question and I can't understand the worked out solutions either. All help is appreciated, thanks in advance. Show that ||z1|-|z2|| ≤ |z1+z2|. State the condition for eqality to hold.

The answer is C. You can picture |x+2| + |x-3| = 5 on a number line. x+2 simply means the value of x being shifted 2 units to the left of the origin, and x-3 means the value of x being shifted 3 units to the right of the origin. You should immediately tell that the parabola x^2 - x -6 ≤ 0 has...

It might be advantageous for you to easily get those complex number calculations done without spending too much time on the algebra side, but in the long-run it could potentially have a negative outcome of your algebraic skills. I would just stay on the same level as the other students in your...

In my opinion, Maths is one of those unique subjects which unlike English, is not tested so much on creativity but more on logical thinking. By giving you only 50 minutes for the exam, they're really trying to identify the top clever students who are able to choose from the wide range of...