Here’s a copy of the original question.
If x^2+bx+9 has two non-real roots, find all possible values of b. Express your answer in interval notation.
You know you are not supposed to post AoPS questions. You chose to do so, anyway. You then delete your questions because you fear getting caught, or you do not want anyone else to benefit from the solution. This makes you an APoS (A Piece of Shit) student.
Andre Mossow, the webmaster, bans members for deleting question. https://web2.0calc.com/questions/change-username#r2
If you do this again, you’ll be gone. Good riddance!
Why did you repeat your question? Your example at the end is not correct –it’s absurd.
The total should shows four or five places beyond the decimal and you'll have to round up or down. You will explain who keeps the difference, the owner or employee after you round it back to 2-places beyond the decimal. This is similar to the price you pay for gas 1/10 of a cent below a break point. You won't find the tenths of a cent on your paycheck, so where does it go?
The quick answer to your question “where does it go,” “who keeps the difference,” is simple: The fractional payments are distributed in other pay checks. No single person or entity “keeps” the fractional parts of the payments. To clarify, the payments rounded down are used for payments that are rounded up.
Converting US dollars to Pesos
The exchange rate is $0.0529 per Peso. So it’s necessary to divide the dollars by the exchange rate to convert to Pesos.
For your example: (40) * ($19.55/hour) = $782.00
($782.00) / (0.0529) = 14782.608 Pesos
In finance (payables), the value of the third decimal is used to determine if the second decimal is rounded up or remains the same. If the third decimal is five (5) or higher, then the second decimal is incremented. If third decimal is four (4) or lower, then the second decimal remains as it is. Using this criterion, the pay check for this employee is 14782.61 Pesos; it’s rounded up to the next centavo.
Theoretically, half the time this third decimal will range from (5) to (9) and the half the time it will range from (0) to (4). Thought this is true, when the third decimal is zero (0), there is no fractional value, so it does not generate any excess. The fraction that is collected for 4, 3, 2, and 1, pays for 9, 8, 7, and 6; but the zero (0) does not pay for the five (5). This sounds trivial, but after a million paychecks, the company pays an extra 1000 Pesos –about $52.92.
This confirms the old maxim: Watch your centavos closely, the pesos will take care of themselves.
This is just more proof that you cannot see what you do not understand.
CU didn’t know to ask. However, Hectictar knew which method to use. This method is from book VII.
I did contribute something:
I posted a reference to a twenty-three-hundred-year-old set of mathematical texts.
I also posted (as a public service) a notice that you use pseudo mathematical prestidigitation –aka fake math. You may know this by the more generic name: BULLSHIT! The more experienced avoid this mathematical navigation hazard, but the younger students often walk through it, tracking it all over the forum and their academics. This happens enough, by natural means. So, we really don’t need professional bullshitters on this forum. You should find somewhere else to spread your dung.
!!!Mr. BB (Read as “Triple Deranged Mr. BB”)
I did tell you what they are: Euclid’s Elements, aka Elements by Euclid, aka Στοιχεῖα (Ancient Greek Title).
Elements is a mathematical treatise in 13 books first published circa 300 BCE –back when you were a young teenager, before your arteries hardened and brain atrophied, and senility was still in your future.
!!!Mr. BB, you really should have bought a set because you cannot see what you do not understand.
This explains your rhetorical question: “Well why dont you tell us what the "books" are!!!”
This is one of the Mr. BBs. I’m not sure which one, but it doesn’t really matter, because they all think alike. One trait they all have is to demonstrate pseudo mathematical prestidigitation –aka fake math.
He presents a name for the method and the result, but he never actually presents the method. He uses pseudo mathematical prestidigitation for most of his solutions, but he always does it for the Euclidian Algorithm.
There are two Euclidian Algorithms in Euclid’s Elements:
One for rational numbers, in Book VII, and one for real numbers, in Book X.