Consider it solved!
$$
\frac{z+(-z)+2}{2z-z^2}=1 \Rightarrow
\frac{2}{2z-z^2} \Rightarrow
2=2z-z^2 \Rightarrow
z^2-2z+2=0 \Rightarrow
\frac{2\pm\sqrt{2^2-4*1*2}}{2} \Rightarrow
\frac{2\pm\sqrt{-4}}{2} \Rightarrow
\frac{2\pm2i}{2} \Rightarrow \\
1 \pm i
$$
I got such a good feeling when I...
Oh, my. I feel so embarrassed.. I'll get right to it.
And when it comes to the root of ##-12## I forgot to do ## \sqrt{-12} \Rightarrow i\sqrt{4}\sqrt{3} = 2i\sqrt{3}##
Homework Statement
$$\frac{1}{z}+\frac{1}{2-z}=1$$
Homework Equations
Quadratic-formula and algebra
The Attempt at a Solution
Been struggling with this one.. I keep getting the wrong answer, but that isn't the worst part, I can live with a wrong answer as long as the math behind it is...
I've solved it, I'll take a look at the article fresh_42.
The steps I took where the following:
$$z=\frac{(3i+7)(1+i)}{(1-i)(1+i)} \Rightarrow \frac{3i+3i^2+7+7i}{1+i-i-i^2} \Rightarrow \frac{4+10i}{2} \Rightarrow 2+5i$$
Been struggling with that one for some time... Not sure why don't feel...
Homework Statement
So the problem I have is this silly little equation..
$$\frac {z - 7}{z + 3} = i $$Homework Equations
This is the thing, I don't think you need anything more advanced than basic algebra to solve this problem.
The Attempt at a Solution
And I've tried solving it doing the...
that might have been a mistake on my end.
forgot to multiply by 2 in every part when I "made" up the formula.
Pardon my English as it's not my first language.
Hehe, I get your point it's impossible to predict the mass with the velocity and height (:
This was the first task based on roller coasters, the next question was asking about the speed of the cart in situation 2..
This is a badly designed problem i guess..
Hi, I've been trying to figure out how to solve this problem for a few hours, but whatever I do it seems to give me the wrong answer.
Problem statement:
Fetch data from the roller coaster model. Ignore friction. What is the mechanical energy in cart in situation 1?
## E = E_k + E_p ##
Which...
Hi(This thread might have been posted in the wrong section of the forum although this isn't a homework problem, just something I do because I like physics!), I've been trying to figure out how to solve this problem for a few hours, but whatever I do it seems to give me the wrong answer.
h(1)=...
Total distance is 100 m, she ran 100 m in 11.8 s, she had constant acceleration during the first 3 s after that(the remaining 8.8 s) she had constant v.
s = vt
s = \frac{1}{2}at^2
A combination of the two is what I suspect to be the correct formula
something along the lines of this:
s =...
A person runs 100 m in 11.8 s. She had constant acceleration the first 3.0 s and after that she had constant speed(velocity if you will)
s=vt
v = v0 + at
s= v0t + 1/2at^2
2as = v^2 – Vo^2
I have tried a bunch of times but I seem to get it wrong every single time. This has given me a small...