Quadratic Definition and 990 Threads

show that if a number n is represented by a quadratic form f of discriminant d then 4an is a square mod |d|. I have no clue how to even start this proof. I tried using the jacobi symbol.. but it's not gettin me anywhere. Could someone give me a hint.. :confused:

I was given a bunch of quadratic homework and I'm stuck on a few problems: "Brendan buys a black of shares for $1895. When the share price goes up by $4/share, he sells all but 15 of them for $1740. How many shares did he buy?" I got the equation \frac{1895}{x} - \frac{1740}{x + 4} = 15...

I'll be honest, I don't understand most of what's going on in this forum, so forgive me if this isn't the right place. I'm trying to extrapolate a quadratic curve between two points (my x values). These are known, as are the corresponding y values and the y' (or dy/dx if you prefer) values...

I have a question that i have to do, the only problem is time. Since i have to finish my stats assignment, would anyone tell me the steps involved in solving this problem(in order), Rotate and translate the coordinate axes, as necessary to bring the conic section 3x^2 -8xy -12y^2 -30x-64y=0...

I have this multiplication problem it says solve 11sin theta-7=3-6sin^2 theta algebraically for the domain 0<=theta<=2pi I rearranged this into a quadratic formula equal to 0 6sin^2 theta+ 11 sin theta -10=0 common factored this and then got 2sin theta=0 and 3sin theta -2=0 isolating...

heres a problem i stumbled: find three rational numbers a,b,x such that: x^2 + 5 = a^2 x^2 - 5 = b^2

Let f(x) be a quadratic function such that f(0) = -4 and \frac{f(x)}{x^2(x-5)^8}dx is a ration function. Determine the value of f'(0). f'(0)=______ i don't really have a clue on how to do this. I can only think of integrating the function then find the derivative of it and plug in 0...

Hellooooo everybody. i have a very distinct feeling that there's something very wrong here... OK, what I'm trying to do is to get to the quadratic equation through the standard form of a polynomial equation in the second degree. :smile: watch this, and go to this website. it lists the...

y=4x^2-8x-5 Find the coordinates of the turning point of the curve. Where do I even start?

I just need to know the basics of 2 ways to excecute a quadratic equation...: Quadratic formula and factoring. Thankyou!

What do you do when Root(b^2-4ac) is negative? because you can't have a negative under a root right?

I used to know how to do this but I can't remember can someone please help me out? An amusement park charges $8 admission and average of 2000 visitors per day. A survey shows that, for each 1$ increases in the admission cost, 100 fewer ppl would visit the park. Write an equation to...

2 Problems.! #1 Tell Whether The Quadratic Has A Maximum Value Or A Minimum Value. The Find The Value. Round To The Nearest Tenth. F(x)= -x² -6x - 7 #2 Let y = | x+a | +b, Where a ‡ 0 and b ‡ 0 . Explain how the values of a and b affect the graph of the functions as compared to the...

Due Tomorrow Please Help Now! #2 Tell Whether The Quadratic Has A Maximum Value Or A Minimum Value. The Find The Value. Round To The Nearest Tenth. :confused: F(x)= -x² -6x - 7 #3 Let y = | x+a | +b, Where a ‡ 0 and b ‡ 0 . Explain how the values of a and b affect the graph of the...

I know this is a basic question, but can someone please help me with WHEN to use the quadratic formula, i just wondered, can it be used on any quadratic?

can someone help me a) for each set of data, calculate the first differences and identify the linear and nonlinear relations b) for the nonlinear relations determine the second differences and identify the quadratic relations 1) x 5 6 8 11 y -2 -3 -5 -8...

Hi, Please Can You Help Me To Understand How To Find The Vertex Of A Quadratic Equation (x,y Coordinates) Just By Looking At The Equation ? Eg What Is The Vertex Of Y=3x^2+4x+7 ? __________________________________________________ Also, How Do I Transform A Straight Line Graph...

hey there reader i have: y=3x+11 y=2xsquared+2x+5 i have to solve these as they are represent a straight line and a curve respectively. so far i have: 3x+11=2xsquared+2x+5 at the intersection ;2xsquared-x-6=0 i factorised this and checked it to make sure it matched the above...

so i got a block with mass=m traveling on an oiled surface. the block suffers a viscous resistance given: F(v)= -cv^{3/2} the initial speed of the block is v_{o} at x=0, i have to show that the block cannot travel farther than 2mv_{o}^{1/2} /c so far i have; ma=-cv^{3/2} m...

Dear members, For the general equation ax^2 + BX + C = 0 , what does increasing/decreasing the a, b and c values do to the graph ? Are they related to each other or not ? If C was 0 will the graph always be symmetrical about the origin or is this my misunderstanding ? Thankyou...

A bit of a newbie question, but I was wondering how does one go about solving these? For example: (I was working on a problem posted on another thread on Homework Help) |3n-4| < 9\epsilon n^2 + 3 \epsilon Epsilon is a small positive number of course :P The tricky part is when I split...

hi, i am trying to show that dv/(1- (v^2/v_ter^2)) = g*dt which after integrating is v=v_ter*tanh(g*t/v_ter) (motion with quadratic drag) can also be obtained by using natural logs. so far i have this: letting u = v/v_ter i can use partial fractions to get du/(1-u^2) = 1/2...

A rectangle has an area of 60 square millimetres. If the length and width were each increased by 5 millimetres, the area would be 180 square millimetres. Find the dimensions of the original rectangle. Could someone please help me! I have tried everything. The answers are 4mm and 15mm.

Quadratic equation and Radical function! Please help with these two problems! 1) a) Find a radical function where f(4)=0 and f(16)=6 b) Find a radical function where f(4)=0 and f(2)=2 2) a) find a quadratic function where the vertex is (3,-1) and has a vertical intercept of (0,8)...

in a maths book i have there is an example of solving a quadratic. part of the process reads: y^2 - 12y + 32 = 0 implies that (y-8) (y-4) = 0 i don't understand how this second equation was reached based on the first one. could someone add in the steps that gets me from...

2 questions ... 1- solve : 5 > x^2 >= -9 : x belongs to R ---------------------------------------------- 2- solve : cos (x+30) - sin (2x) = 0 45 >= x >= 0 ---------------------------------------------- thanx regards abc

Any idea how to figure this problem out? x + 1 = 9x^3 + 9x^2

http://mathworld.wolfram.com/QuadraticFormula.html Why is the alternate form the way it is? why is 2c the numerator and not 2a?

I need to know how to change from.. general.. to transformational.. to mapping.. and all of the other ones I really have no clue how to :cry:

We were recently reviewing quadratic equations in my algebra 1 class. As my teacher simplified equation after equation on the board, I began to get this nagging feeling there was something incorrect. I have pin pointed where I believe an error was made. At this point in solving a...

Quadratic formula help ... Heres the question ... your help is greatly needed and appreciated ... Markita wants to fence a rectangular plot of land along side the shore of a lake. Only 3 sides must be fenced, since the lake will form teh lake will form teh fourth side. Markita had 100m of...

Really need some help on Quadratic Formula's ect ... Heres the question ... your help is greatly needed and appreciated ... Markita wants to fence a rectangular plot of land along side the shore of a lake. Only 3 sides must be fenced, since the lake will form teh lake will form teh fourth...

hi, Just wondering if anyone knows how to do Quadratic Programming, I'm attempting some questions but I am confused. So anyone know how to do it?

How do I graph parabolas/quadratic equations?

f(x) = -2x^2 + 12x + 12 I was able to express it in standard form and find the maximum value, but I can't seem to get the x-intercepts I got -2x^2 + 12x + 12 = 0 -2 (x^2 - 6x + 6) = 0 does that mean I need to use the quadratic formula or did I do something wrong?

__________HA <------> H+ + A- initial (mol) .1 ________ 0 ___ 0 change __ -x _______ +x ___ +x final _____.1-x _______ x ___ x Ka = 10^-8 find pH of .1 mol acid since ka X 100 = 10^-6 < .1 can use initial concentration: .1-x = .1 Ka = [H+][A-]/[HA]...

Hi, I'm hoping someone out there is going to see something in this problem that I don't because I really don't get it: Consider the equation: \sigma=(\omega + i \nu k^2)+\frac{\alpha^2}{\omega + i \eta k^2} It doesn't really matter what the variables mean, (i^2=-1 of course) but...

if x=2 is a root of ax^2 - bx -x = 0, state the relationship connecting a,b, c and show that x=2 is also a root of bx^2 + cx - 8a = 0. the answer for the first part of the question is 4a - 2b - c = 0. i need to know how to prove for the second part.

2 questions 1.can a quadratic function be just set to 1 number e.g. 5 or can it be a bigger number. at the moment I am working on numbers below 10 to get used to the formulas. 2. is this correct how i am doing it? formula N --> N2--> 3N2 + 4 e.g. N =5 5 x 5 = 25 = N2...

Trying to rewrite a quadratic equation in the form a(x - h)^2 + k. The equation I'm trying to rewrite is: y = x^2 + 3x + 5/2 Not looking for an answer, just looking for how to do this (I don't know how to do it if it has rationals in it). Thank you.