Quadratic Definition and 965 Threads

Ok, the question I have is attached. What I have done is found the general solution: (Question was seperable, so it was easy) y = x^2 - 2x + c But I don't kwow what/how to do is finding the initial conditions where there are: (a) No solutions (b) more than one solution (c) precisely...

"Let Q(v)=<v,v> be the quadratic form associated to a real or hermitian inner product space. ... " What's a quadratic form?

" the height "h" meters of a cricket ball after being struck by a batsman is given by the equation h=1+x-(x^2/40) where x meters is the horisontal distance traveled by the ball from the bat. how far would the ball travel before it hits the ground?" I have: using pythagoras...

Hi, I just need to learn in drawing graphs using a quadratic equation. Also I need to know how to find the minimum and maximum point and the line of cemetry from the equation (I need to know by proving it in the equation) Has anyone got any website to clearly learn about this? I know...

hi, I need to learn very well about quadratic equations. Can anyone give me a site to learn about these equations? Thanks:smile:

Hello All I am trying to figure out how to determine if there are two, one, zero, or infinitely many roots for given formula ax^2 + bx + c. Are there any easy ways to determine this without having to use the quadratic formula? Thanks P

I desperately need some help with sketching cylinders and quadratic surfaces. We did this in first year and I understood it then but now that I look at it, I have no idea where to start. Oh and yes I have been into talk with my ta quite a few times but I still don't quite understand; I'll go...

okay i need to solve the quadratic y = -x^2 + 5x + 6 and need to find the coordinates of the vertex of the curve by factorising y = -(x^2 - 5x - 5) y = -(x + 1)(x - 6) so when y = 0, x = -1 and x = 6 (that parts simple) .............. At the vertex x = (-1 + 6) / 2 = 5/2 (as...

1. (a) If the roots of the equation 2(x)^2 + kx + 100 = 0 are positive, find the possible range of k. (b) If, in addition, one root is twice the other, find the roots and the value of k. I have tried (a), but incorrect: discriminate > 0 k^2 - (4)(2)(100) > 0 k^2...

Hi! I'm new here so if this has been covered please accept my apologies. I'm having trouble proving the equation from: ax²+bx+c=0 to the solutions x=(-b(+/-)√b²-4ac)/2a I've been told to complete the sqaure of ax²+bx+c, then rerrange to give x, but I just can't get it! If you could show the...

I've been able to prove that the set {8n+7} has infinite primes by manipulating Fermat's Theorem, but I'm trying to reprove it using quadratic residue and Legendre Polynomials. I've been able to show that for p=8n+7, (2/p)=1 and (-1,p)=-1 So it follows that (-2/p)=-1. And that (-2/p)=1 iff...

hey can you help me solve these, I've got 20 problems..and i only need is this problem so that i have an idea of answering the others An engineer can decrease by 2 hours the time it takes to travel 200km. If he increases the speed of the freight train by 5km per hour, what is the original...

Students from a history class prepare a trip that will cost them a total of $189 that will be shared between them. The day before the trip, 6 students discovered that they can't participate in the trip. To avoid cancellation, the rest of the class decided to pay an additional $2 each. How many...

I have a function y = \sqrt{ax^2 + bx +c}, and 2 sets of points {x_i},{y_i} that need to be fit on this curve. First in this problem, I need to somehow convert this nonlinear function into linear and then apply least square methods to determine a,b,c. What I came up is ofcouse squaring both...

http://www.mste.uiuc.edu/users/exner/ncsa/quad/ There's another way of writing the quadratic formula...but how do I derive the 2nd formula using the 1st one? I've tried for hours and I can't get it. I would really appreciate any help.

How would I solve this equation: 3(x-3) + 4x+7= 5x-3 And How would I solve these Quadratic Equation: x^2 + 7x + 12 = 0 3x^2 - 10x + 8 = 0 8y^2 + 18y = 5 = 0 Thanks.

Hey, could someone please help me with this problem? I just want to know why the graph of Quadratic Equation are symmetric and why does the maxima and minima ( = -b/2a ) the mean of the two roots? One more thing I didn't get was what does the a represent in ax2+bx+c ( ax square+bx+c)? I know for...

Hi, I may not be thinking straight or something, and I am having trouble with this question, please help!: Given that 'p' is real, find the set of values of 'p' for which the roots of: (2p+1)x^2 - 10x + p-2 = 0 a) Are real b) Have a sum>5 Im thinking along the lines of: alpha+beta =...

Hi. It's late in the game for me to still be banging my head over this one, so I was hoping for some priceless tips from those who are doing it in their sleep.. PLeeeasse :redface: I know I should remember the Quadratic formula better than I do, but I was encouraged not to resort to it...

I'm having some trouble figuring out how to simplify the following problem. I know that i= the sq root of -1, and that i^2=-1, but I'm not sure how to approach this problem. sq.rt.(-x^2-4x-3)

Hi, I'd like to know which property proves the following simple result. Let p be a prime greatest than 3. r is a quadratic residue of p if there exists a such that: a^2 \equiv r \pmod{p}. Since p is prime, there are \frac{p-1}{2} different residues (not counting 0). Now, if you sum them...

This was on a test but I couldn't quite solve for x: 5^2^x + 4(5)^x = -3 let 5^x = y y^2 + 4y + 3 = 0 (y + 1)(y + 3) = 0 So I end up with 5^x = -1 or 5^x = -3, but I don't think that makes sense... what am I doing wrong? It must be something dumb I'm doing :shy:

hey , i tried deriving another method for solving a quadratic equation ,and here is wat i came across +or - sqrt ([b^2-2ac+or-(b sqrt[b^2-4ac])/2a^2) i hope u get this correctly its read plus or minus square root of b^2-2ac plus or minus b root b^2-4ac all divided by 2a^2,remember the...

Hi, How is the roots of a quadratic equation related to the distance from the x-axis at where the root is - where ... ax^2+bx+c=0 and ... x = (-b +- SQRT(b^2-4ac))/2 Can someone help me to establish where this distance relationship to the x-axis and the root come from? Thx! LMA

The quadratic equation x^2 + mx + n = 0 has roots that are twice those of x^2 + px + m = 0, and none of m, n, p is zero. What is the value of n/p? I'm stuck and don't know where to begin.

Hey I have a test today and can't figure out how to solve certain quadratic equations. We are doing solving the equations by completing the square using these steps: 1. divide each side by coefficient of x squared 2. rewrite the equation with the constant on right side 3. complete the...

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)...