Hello everyone. I need a way to store the recordings of my classes, and all together they are like half TB of storage. Now being a student, I need a reasonable storage to use where I can create folders to get everything sorted. What do I use?
In about a month, I will be sitting for my college entrance exam, and I have been practising with previous years' questions from that college. While doing so, I came across this equation:
4x^6+3x^5+2x^4=384
The question simply asks for the value of x, and there is only one answer needed. The problem is that my calculator is a Casio FX-991CW, which is the most powerful calculator permitted in the exam. It is non-programmable, but when I use its equation-solving functions for this problem, it takes roughly 55 seconds to obtain the answer, which is far too long for an entrance exam where time is critical.
The answer is x=2.
I asked some seniors how they solved it. They treated the left-hand side as a polynomial,
P(x)=4x^6+3x^5+2x^4,
and simply evaluated P(1), P(2), etc. Since P(2)=384, they immediately got x=2.
The difficulty I have with this method is that it relies heavily on guessing small integer values. What if a similar question had an answer such as
x= -1/3, x= -2, x= 1/4
or some other non-obvious value? Since this is not an MCQ, I cannot simply test the answer choices. So my question is:
What algebraic tricks or patterns would you use to solve this sort of equation quickly, with very little writing, in a college entrance exam?
I would be grateful for any efficient techniques or general patterns worth learning for this kind of problem.
Hello everyone. This is a problem for many I think. Google play cards are not available in my country. The only payment option in cards. I tried to use my and my parents cards, but they all were unable to do so. I have a regional USA account for some reason, but I can't buy play cards on that account for this card issue. What to do?
I don't know if it's a proper sub Reddit, but anyways. I want to purchase something and found out that my card isn't eligible to do international transactions. So Google play card it is. I have a USA based Gmail, so that's not a big deal. But where can I buy Google play cards? It seems my Bangladeshi card can't buy them. Does anyone know a trustworthy site to buy them via nagad or bkash?
Thanks in advance.
Sorry for bad quality, as my phone is really old.
Okay, so, two approaches gives slightly different answers. Why? I originally solved the first way, inserting a 3x4 rectangle in that gap, and got 6,8,10 Pythagorean triplets, hence x is 10. But people calculated the other way and said the answer is 10.0086755... . Why is this, and what's the actual answer?
Pages are stuck.
There is roach egg marks.
Pages are stuck.
The top and bottom is quite dirty, I can't take it of by just wiping.
I made each act to to a chapter, and I kinda named the chapters, and each part of the chapter corresponds to a scene.
Give me your thoughts.
I kinda took help from Claude's Sonnet 4.6 to reshape it a bit.
P. S. I haven't read the version I'm giving here yet, so let's go though it together.
If everything checks out, I'll do the rest of the chapters as well.
I was thinking, if I stumble upon one, and think of it to be vigenère cipher, but that I do t have the key, can I solve it? I know the basic theory of this cipher, and previously tried it, but never without a key.
By hand and also websites that do it, both are requested. Thanks.