Recent content by Quark Itself

  1. Q

    A determinant containing a variable

    Homework Statement I have this 4x4 determinant and usually these are just mechanical work, until I stumbled upon one containing x, how should one go about solving these type of determinants? [x 2x 4 x ] [1 2 2x 1 ] [2x x-1 2 3x] [ 2 x+1 x+3 x-1] What are the different values of...
  2. Q

    New mathematical operation labelled #

    basically, this arbitrary value can be multiple values and therefore there is no logical solution? How would one solve it , despite the discrepancy?
  3. Q

    New mathematical operation labelled #

    This is neither homework nor independent study, it was a brain teaser( or so you could call it) I found. A new mathematical operation has been implemented , call it # It is used within our knowledge of numbers( it operates with all sets of numbers) and works together with our known operations (...
  4. Q

    An equation with multiple radical radicals.

    Well, good job to you, sir.
  5. Q

    An equation with multiple radical radicals.

    Here's a slight brainteaser for you all ! Seems simple at sight but can be harder than you think :D P.S I'm working on it as of now, it's an interesting question. Solve : 1/(√x+√(x+2))+1/(√x+√(x-2))=1/4
  6. Q

    How can the square root of a large number be found without a calculator?

    Thanks for the quick replies ! Really appreciate it ! I was thinking along the lines of having a number n which would be that exact value but as I worked it through I got stuck, where you presented the n = 30^2 + 30a + b part was where I got stuck, but your explanation was really good so thanks...
  7. Q

    How can the square root of a large number be found without a calculator?

    I stumbled upon a math question, at the glance of it, seemed easy. One is supposed to find the exact value of this square root: √30*31*32*33+1 They are all under the square root operator and Fundamental BEDMAS/BIDMAS applies of course. The trick here is when the condition states that one...
  8. Q

    What Time Did David Reach Point A After Passing Carl?

    Yeah, I got that part and everything. It is very clear, but from there how do you proceed?
  9. Q

    What Time Did David Reach Point A After Passing Carl?

    Problem : Two hikers, Call them Carl and David started to walk at 12pm (noon) along the same path but in opposite directions. Let's assume Carl walked from Point A to point B and David did the opposite, walked from Point B to Point A. Both of them have different constant speed. They pass each...
  10. Q

    What is the speed of a pendulum at point D?

    Oh right, it worked. Thanks ! :D
  11. Q

    What is the speed of a pendulum at point D?

    Why would it be 2y? I don't think you've read it incorrectly.
  12. Q

    What is the speed of a pendulum at point D?

    Wnc ( Work done by non-conservative forces) = 0 Therefore : PEi + KEi = PEf + KEf point A through point B PEa + KEa = PEb + KEb KEa = 0 because it’s at rest and PEb is also 0 because it reaches the lowest point of travel thus, PEa = KEb h = L because it is attached by the string with length...
  13. Q

    What is the speed of a pendulum at point D?

    Well, yeah :) The thing is now , people have gotten an answer that the speed at point D is sqrt of 4g(y-L) or it might be sqrt of 4g(L-y) However, I get it to be sqrt of 2gy
  14. Q

    What is the speed of a pendulum at point D?

    But isn't this just the same problem , being questioned? And partially unsolved?
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