# modulus

1. ### An equation with moduli

Hello all, A problem at the high school level: Solve the equation |x-2|+|x-1|+|x|=-m^2 where m is a some parameter. All the best, Integrator
2. ### How can I find the modulus of the angular acceleration?

The problem is as follows: A pulley starts spinning from rest a rotation with constant angular acceleration. After $5\,s$ a point in its periphery has an instant acceleration which makes a $53^{\circ}$ angle with its linear speed. Find the modulus of the angular acceleration (in...

15. ### modulus and complex conjugats

Hi all, any help with this would be great. If z=a+ib and w=c+id, then (a^2+b^2)(c^2+d^2)=x^2+y^2, find the set (x,y)? And if a=4, b=7 c=8 and d=9, then x^2+y^2=9425. So find the set (x,y)? any help greatly appreciated.
16. ### Modulus of attached numbers

I have a question but I'm not sure if it's possible to solve. Define '&' operator which attaches number. For example, 123 & 45 = 12345 84 & 893 = 84893 Question Consider A, B and C to be numbers from 1 to 3 digits length We know: (A & B & C) mod 11 = c Is it possible to...
17. ### Modulus functions

Help me answer question in middle. I don't understand it [emoji20]
18. ### Without first expressing them in the form a+bi, determine the modulus and argument of

Basically what I've done was this: Let z1 = (-2-iâˆš3) Let z2 = (iâˆš3-2) Found the modulus of z1 & z2 which are both âˆš7 and hence found the modulus of z3 which is 1 (correct according to book. The problem is in the argument: I found arg(z1) which is -(Ï€-arctan(âˆš3/2) and...
19. ### More Complicate modulus algebra

As told in an old post, I figured was possible to rise with my sum several results: - the first I show are Powers in N, than in Q than in R, - But now I've little time to play with what I already know is possible to do: More Complicate Modulus Algebra: Is again a modified Sum, like...
20. ### Find the modulus and argument of sqrt(3+i).

I tried letting sqrt(3+i) = a+bi. With some calculations, I got 2a^2 = x + sqrt(x^2+y^2), 2b^2 = -x + sqrt(x^2+y^2), which means a = +- sqrt[(3+sqrt(10))/2] and b = +- sqrt[(-3+sqrt(10))/2]. Does this mean there are four possible answers? But then when I tried doing this by expressing the...