Roots Definition and 978 Threads

this problem is annoying. I've found that the primitive roots of 9 are 2 and 5. since 2|18 it can't be a root. i know via some theorems in my book that if 5 is a primitive root of 3, then its a primitive root of 3^k, and also of 2*3^k. sorry about not using latex, shouldn't need it for...

solve \sqrt2 \sin\theta= \sqrt3-\cos\theta algebraically for the domain 0<theta<2pi I know that the cos can be changed into 1-sin^2 theta but I don't know what to do after how do I get everything on the right hand side and simplify it?

In math class today, we were discussing quadratic residues, and one of the things that came up was the fact that x^n-a=0 has n roots. This just made me start thinking about real and complex roots. A question that I had was whether, given n>2, is it possible to have n real roots in...

I'm working with a professor on a project and we are going through a bunch of integrals in the "table of integrals series and products" and there is one that we cannot seem to get--the answer in the book is wrong after doing some numerical calculations, but we can't find a "solution" to the...

I have three problems that I can't seem to solve. I was wondering if anybody could help me or explain to me how to solve these. Note: * = multiplication. 1. (6^1/2 * 2^1/3)^6 2. ^4√7 + 2^4√1792 3. 3(X-4)^1/2 + 5 = 11

How can I estimate the value of sqrt. of a particular no. which is not a perfect square(e.g. 125) without using the calculator? Secondly how does the Calculator solve it? Does it use logrithms? If it does how does it solve them?

We have to find the max/min of a derivative and we can't figure out how to find the roots of the function. The equation is y'=-5x^4-7x^2+10x+4. We tried factoring, but that won't work, the quadratic equation doesn't work, and we don't know how to solve for x. :cry:

roots! HELP For what values of k does the equation x^2+k=kx-8 have two distinct roots, one real root, no real roots? convert into standard form first well x^2+k-kx+8 I don't know if i can simplify this further? and if i can't then what does a=? b=? and c=? I don't understand how to do...

Hey guys can you help me solve this problem: Find all real numbers a with the property that the polynomial equation x^{10} + ax + 1 = 0 has a real solution r such that 1 / r is also a solution. Thank you for helping me :smile: Sry I have posted this problem once before, but nobody helped...

How do we do this? I know how to find all RATIONNAL roots but what about the irrationnal ones? [tex]2x^5-5x^4-11x^3+23x^2+9x-18=0[/itex]

Ok so I know that when you have radicals such as the following you only have one answer right?... x + 1 - 2(square root of [x+4]) = 0 ok so x = 5 right?... i don't know why but it just does... I can't solve it If i solve it It works looks like this: (squaring everything I...

I need to factorise x^3 + 216 to include (x+6): (x + 6) \ (x^3 + 216) (lim where x approaches -6) I broke it down to (x + 6i)(x^2 - 36i) ... but that's no good.

I've got a homework problem from my function theory course that I never fully understood. It's getting hot again since the exams are nearing...please help :smile: It goes simply like this: Compute the Integral \int_{\vert z \vert=1}\frac{dz} {\sqrt{6 z^2-5 z +1}} The square root is chosen...

Please look at the attached pdf http://www.geocities.com/complementarytheory/Roots-Chain.pdf . By this model we can see that √1 is the "shadow" of √2 and √2 is the "shadow" of √3. If we can conclude that √3 is the "shadow" of √4 ... and so on, then do you think that this "Chain of...

Why do we have anti-West terrorism stemming from the Middle East? Why do they have hatred for Westerners? I have heard the idea that it's becase they hate us for being great and successful and sugar and spice and are jealous to the point of nausea. I think that this is nothing but a...

I'm reading a chapter on recurrence relations and they have a problem with the phrase: ...if r is a root with multiplicity 2. What does it mean for a root to have multiplicity? This is the first time I've heard of this and the book assumes I would know what they mean already.

hello everyone, this is my first post.. I've got myself a problem. say I have a field F, and that f(x) is a polynomial with coefficients in F. (all the normal differentiation rules apply like always.. product rule, quotient rule, etc.) Now, I know that a polynomial f(x) has a "multiple...

Such as sqrt 5: (2.236067977...) Start with the fractional seeds 2/1, 9/4,... New members are generated (both numerators and denominators) by the rule new member = 4 times the current plus the previous. Which generates the progrssion 2/1, 9/4, 38/17, 161/72, 682/305, 2889/1292...

Hello, I have a simple equation (maybe simple for some) that I can't understand how to get from one point to the next when re-arranging. If you can help by giving an answer in english I would be thankful... The equation T = 2 pi square root L / g (sorry couldn't find the square root...

u noe how x^5=1 has 5 roots which some of them are not real in complex field. and so is x^2=-64 with roots = -8i or 8i and i notice that the sum of roots = 0 (msut inculde non real --> complex number) is this becasue of the rule of polynomial --> -b/a =...

How can i find the derivative of a function like this: f(x) = sqrt( 1 - x² )

Hey I’d really appreciate some help with these problems (they should be fairly easy, I just can’t seem to remember how to do them): (1) Find the range of k, element of R, for which x^2 + kx + k = 0 has real roots. If one of the roots of this equation is 2, find the other root. (I’ve proved...

Hi...I know what Sine, Cosine, and Tangent represent in math and how they are used...but I'm asking a different question. That question is: how are they calculated? That is, when I put, say Sine(10) into a calculator, how does it calculate that value? Additionally, how are square roots...

I have a question. You might be familiar with the following expression for the golden ratio: X = \sqrt{1 + {\sqrt{1 + {\sqrt{1 + {\sqrt{1 + {\sqrt{1 + ...}}}}}}}}} For those who haven't seen this before, to solve this we just square both sides (which removes the outermost square root...

I'm trying to find the: 4 4th roots of [itex] {\sqrt{3}} [/tex] + i . So I made a Cartesian plane and graphed radical 3 and 1.. but these numbers can be in 2 quadrants, 1st and 3rd. r=2 ==> 2([itex] {\sqrt{3}} [/tex] + i) ===> 2(cos 30+isin 30)...

on a ti83 calculator, how do you put in cubic roots?

What's the most easiest, simplest way of figuring out square roots?

A bunch of us might want to watch this. ********************** Thomas L. Friedman Reporting: Searching for the Roots of 9/11 Discovery Channel 30 Mar 26 09:00pm CST The roots of Muslim rage; mistrust toward America.