Quadratic Definition and 965 Threads

Quadratic equation without numbers?? How would one go about solving an equation such as B2X2+2ABCX-ABC2 for the value of x that equals zero? All of the letters are constants except for X, so would this be a quadratic equation problem.? The solution in the book is somehow...

how do you calculate the equation of a quadratic curve. A straight line curve uses y-y1=m(x-x1) is i an alteration of this line? cheers

1. Consider the quadratic equation ax^2+px+aq+q=0 where a does not equal to zero & p and q are constants . It is known that one of the roots of the quadratic equation is always 1 regardless of the value of a. Prove that p+q=0 [b]3. I have tried to factorize it and it became x(ax+p)+q(a+1)=0...

Can a quadratic form always be diagonalised by a rotation?? Thx in advance

Homework Statement At the end of a much longer problem, I'm asked to find a second height that will satisfy a formula found for a height in the first part of the problem where:Homework Equations h1(h2-h1)=h3(h2-h3)The Attempt at a Solution I know the answer I should get: h3=h2-h1 But I cannot...

Homework Statement 2 cos x + tan x = sec x Homework Equations I can move terms around with identities, but I'm stuck with the partially solved equation below. I don't know how to solve a quadratic with weird terms. I got really far. But how do I show sin x? sin x = (-1 +- sqrt...

Quadratic function...help! Hi I have an exam (next week) on quadratic functions! (10th grade) Any online websites where I can practice?I need problematic situations(there's a problem - you analyze - calculate stuff,etc)... By the way, I'm studying in a FRENCH HIGH SCHOOL, therefore the...

I am currently studying the Mandelbrot set, and have a question about one of the statements on http://mathworld.wolfram.com/QuadraticMap.html" . It says the recurrence for the Mandelbrot set "is not in general solvable in closed form." What does this mean?

For an odd prime number p let Fp be the field with p elements, ie. the integers {0...,p-1} with addition and multiplication defined modulo p. How many quadratic forms are there on the vector space Fp^n I don even know how to start this question

Hi there! I need a little help from your side. Could you give me an example of a quadratic number in Z3 there is a lemma, that says there are exactly two quadratic numbers there, but I somehow cannot figue out how to find them :( I know that there are 3 equivalence classes there: [0]...

Homework Statement I just need some guidance regarding how to work out the value of x in the quadratic equation. I don't want you guys to do the work for me, I just want to know how to figure it out. Thanks Homework Equations The Attempt at a Solution

Homework Statement Homework Equations \lim(\frac{(x^2)-2x-3}{(x^2)+5x+6}) x->(-2) The Attempt at a Solution anyone can help out on this one?

Homework Statement A particle that can move in one dimension and that is in a stationary state, is bound by a potential V(x) = (1/2)kx^2. The wave function is \Psi(x,t) = \psi(x)exp(-iEt/\hbar) We look at a state in which \psi(x) = Aexp(-x^2/2a^2a^2), where a is a constant and A is the...

Homework Statement In the attached diagram, the displacement of a follower (y) changes as the angle of the cam changes (\vartheta). The follwer has a smooth velocity over the entire path. Therefore, the velocity must match on both sides of the four points noted on the graph. If we assume...

Here is what I know: 1) All quadratic curves of 2 variables correspond to a conic section. ax^2 + 2bxy +cy^2 + 2dx + 2fy + g = 0 a, b, c are not all 0 2) The definitions of parabola (in terms of a directrix and focus), ellipse (in terms of 2 foci), hyperbola (in terms of directrix and...

P = 87x - 700 -x^2 1. Draw a graph of P against x and estimate the maximum value of P and also calculate the coordinates of the stationary point and verify if it is maximum. I am not very good at graph drawing or stationary points... any help people?

Hey I'm wondering if anyone can give me a proof to the quadratic equation solution which is not the simple add here multiply that proof (I just recall some cooler proof, which I think requires more "complicated" mathematics than adding and multiplying, though I can't remember what it was)

Homework Statement lxl <2 lx+2l The question is asking to solve this Homework Equations The Attempt at a Solution Ive tried bringint the 2 over which leads me to l-x-4l over lx +2l < 0 but then the absolute value confuses the heck out of me on where to go...

[SIZE="5"][FONT="Arial Black"]SOLVED Homework Statement While going through a question, I came across a function f(x)=5^{x}+5^{-x} I saw its graph through a software. It was a parabola with minimum value 2. Now a question arises in my mind. Every function of the type g(x)=ax^{2}+bx+c...

I have to find a system of linear equations to determine a quadratic polynomial p(x) = ax2+bx+c Given the conditions: p(1) = f(1) p'(1) = f'(1) p''(1) = f''(1) where f(x) = xex-1 I know: p(x) = ax2+bx+c p'(x) = 2ax +b p''(x) = 2x f(x) = xex-1 f'(x) = ex-1 +...

I just happened to read two papers that pretend that the quadratic divergence of the Higgs mass is not a problem. The first is "Vacuum energy: Quantum Hydrodynamics vs Quantum Gravity" http://arxiv.org/abs/gr-qc/0505104 (Update: this is now the correct paper from arxiv) where Volovik says that...

X^2(2a – bX^2) = 2 value of constants can be pre-determined as a =0.8466 & b= 0.1733. Find X?

I'm fine solving DE with a reducible quadratic, but what happens when the quadratic is irreducible, how would I go about solving the DE? So for example, \frac{dP}{dt}=-P^{2}+10P-26 Thanks in advance.

I got into college as a mature student and I'm doing well in all subjects except for math. I'm struggling a good bit because I never finished high school math and there's a lot of stuff they assume everyone knows but I don't. I have to study it at home so I can keep up. Its mainly quadratic...

HI Can anybody tell me how to calculate a PDF of y, where y is a function of x, such that y = a X*X + bX + C (i.e. a quadratic equation), and X follows the Normal Distribution X ~N(0, sigma) Help anybody? Thanks

Homework Statement Consider ax''+bx'+cx=0 for b^2-4ac=0 with k= -b/(2a). Show x=e^(kt) is a solution. The Attempt at a Solution x=e^(kt) x'=(-b/2a)e^((-b/2a)t) x''=(-b^2/4a^2)e^((-b/2a)t) Then i plugged these into ax''+bx'+cx=0 and simplified to get e^((-b/2a)t)(-((b^2)/2)+c)=0...

here is my task: (x³-4x²+5x-2):(x-1)= We did such task in school but I didn't got it .. Here is the task that we did in school (x³-3x²-6x+8) :(x-1)= x²- 2x-8 but I don`t get it why x² is the result and why 3x² ?? Can someone help me? Thank you in advance

I have a problem with this question: let q : V -> R is quadratic form and suppose T = {v|q(v) \geq 0} is subspace of V. prove that q is indefinite. Thanks in advance.

Homework Statement A gun is fired straight up. Assume a quadratic drag force. Show (upward motion) v^2 = Ae^{-2kx} - \frac{g}{k} (downward motion) v^2 = g/k - Be^{2kx} Homework Equations The Attempt at a Solution I can easily solve the integrals unfortunately I am having difficulty setting...

If one plots the graph of y = x2-10 x+24 which is a parabola, one observes that it is above the x axis, i.e. y > 0, for two intervals of the real line. (The union of these intervals constitute the set of solutions of the quadratic inequality at the beginning of this question.) Find...

I had a hard time completing the square of some problems. This is what I did with them, I would appreciate if someone could show me the mistake that I am doing and the right process in order to solve these problems. Also, here there is an article about completing the square for anyone that...

Um I don't get this problem, can someone help me get through this step by step please. Air Travel ... A Cessna flies 600 mi at a certain speed. A Beechcraft flies 1000 mi at a speed that is 50 mph fster, but it takes 1 hr longer. Find the speed of each plane ?

Question: Find the coefficient of x^5 in (1+x+x^2)^4. Problem: I have not come across expanding brackets which have x^2. I know how to apply the binomial theorem for (a+b)^n or (1+a)^n but have not come across (1 + ax + ax^2)^n. They are not explained in my textbooks so I was wondering if...

Homework Statement Determine \int\frac{4x^{2}-2x+2}{4x^{2}-4x+3}dx Homework Equations I believe it's necessary to complete the square. The Attempt at a Solution Completing the square for 4x^{2}-4x+3 gives \int\frac{4x^{2}-2x+2}{(x-\frac{1}{2})^2+\frac{1}{2}}dx let...

Show that the equation x2 + (3\alpha - 2)x + \alpha(\alpha - 1) = 0 has real roots for all values of α \in IR. How do i do this? Do i just use the b2 + 4ac \geq 0 ?

Hi folks, I have a function f(t), and I want to find 2nd order polynomials that lower/upper bound f(t) in a fixed interval. For instance, f(t) = exp(2t), 0.1<t<0.4 Find a,b,c so that g(t) = a + b t +c t^2 <f(t) for the given interval I have been googling for the solution, but...

hi, could someone please explain to me the attached excerpt, more specifically, why one has to multiply with the ratio. any ideas will be welcome! thanks

Homework Statement Maximizing the function f(X)=6X-1/2X^2+82. That's it, so 6X-1/2X^2+82 = 82-1/2(X^2-12X) = 82-1/2(X-6)^2+18. So f(X)=100-1/2(X-6)^2. Since (X-6)^2 is positive for any X not =6, than the max is x=6. The part I don't understand is when rearranging the function, how do you...

I know how it works, used to find the unknown variable...been using it since Algebra 2... What do the 'two' answers represent. I know one of them always seems reasonable, but the other one is whack (but it probably has some significance). Can someone give me an example of the...

I also wonder about an other interesting residue relation Let P be a prime, let a^{2^n} be called a cyclic quadratic residue if there is integer m dependent on a such that a^{2^{n + mp}} = a^{2^n} for all integers p \mod P It seems that the sum of all such cylic residues is either 0 or...

Morning everybody!:smile: I'm trying to prove a curious little property of quadratic nonresidues: Let p>5 be a prime number. p|S where S is the sum of the squares of its [p's, that is] quadratic nonresidues. However, I didn't make any headway with this problem. I will very much appreciate...

Hello, I have this problem that I simply cannot nail down. Please help. xi - fixed point of g, g is twice continuously differentiable in a vecinity of xi. z(n+1) = g(g(z(n))) - [g(g(z(n))) - g(z(n))]^2 / [g(g(z(n))) - 2*g(z(n)) + z(n)] Using taylor series expansion of g(z(n)) and...

I have a problem with determining eigenvalues. This is what I've got thus far: Homework Statement Identify and sketch the graph of the quadratic equation 4x² + 10xy + 4y² = 9The Attempt at a Solution We put it in the matrix form: \begin{pmatrix} 4 & 5 \\ 5 & 4 \\ \end{pmatrix} Now we find the...

first part of the question is simple : x^2 - 8x + 11 = 0 solve. using quadratic formula it is 4 +/- root5 second part confuses me, you are given to equation: y - 8y^(1/2) + 11 = 0 and are told to : solve this giving answer in form p +/- Q * root5 i have no idea how to do...

Hello, I'm playing with a set of quadratics x^2 + bx + c, where b is fixed, and c is allowed to be any integer image of a particular exponential function. As a simplistic example, I might have x^2 + 100x + 3 x^2 + 100x + 9 x^2 + 100x + 27 x^2 + 100x + 81 etc. and I'm trying to show that...

http://img337.imageshack.us/img337/8922/problemcmi0.jpg Can anyone explain to me please how this problem is solved ?

http://img151.imageshack.us/img151/5562/updatequicklyte1.jpg how would i solve it using MATLAB ? I tried many times but i didnt get the same answer may anyone help me please ?

can someone show how to simplify \frac{12x+9}{x} = x+9 so that it is in the quadratic form: x^2 -3x -9 = 0 multiplying both sides by x, subtracting both sides by 9 etc. . doesn't give me the quadratic.

Homework Statement If one root of a quadratic equation with rational co-efficient is (2^(1/2)+1) , then find the quadratic equation. Homework Equations x=(-b+d^1/2)/2a d=b^2-4ac The Attempt at a Solution Well, I can't quite understand this question. Please help me to...

I know this is a simple question but for some reason I am getting stumped: Question: x-3=-x^2 atempt: (x^2)+x = 3 x^2 + x + 1/4= 3(4) + 1/4 (x+1/2)^2= 3 root everthing x+1/2= root 3 x=+,- root 3 -1/2