Solving Quadratic Equation Online

Solving Quadratic Equations

I'm looking for the equation of a demand curve, which is usually negative sloping, i.e. y = -x. Well, at least that is how it should look. However, I know that y = -x is a linear equation, and that's not exactly what I need. I guess it could be negatively exponential, but I just don't know. Perhaps it might help to give you a few examples of the points on the curve (points are in x:y format)

1) 1,000:400
2) 1,500:300
3) 2,400:200
4) 4,000:100

I should think that the y-intercept would be around 800. It doesn't matter very much whether the curve touches the x-axis, but I would think that the curve would start approaching it around 8,000 or 9,000.

This is actually the curve that I'm trying to find the equation for. Not only that, but then instead of having it in the format of y = ... , I would need it in the format x = ... If you could show me how to find that, I would appreciate it very much.

Answer:

The curve looks like the top right of a circle as I visualise it. You will find it difficult though to work out the exact equation of the curve.

Perhaps this may help put it in the form x=ay^2+bx+c:

y=ax^2+bx+c

y-c=ax^2+bx

You then have to complete the square:

y-c=sq( rt(a)x+(b/(2rt(a)) ) - b^2/4a (test it by multiplying it out. I may have made a mistake)

y-c+b^2/4a= sq( rt(a)x + (b/2rt(a)) )

rt( y-c+b^2/4a ) =rt(a)x + (b/2rt(a))

rt( y-c+b^2/4a)- (b/2rt(a)) = rt(a)x

<rt( y-c+b^2/4a ) - (b/2rt(a)) >/ <rt(a)>= x

A bit difficult to follow, so suggest writing it out on paper. Have used sq to mean ^2 at times and obviously rt(x) to mean the square-root of x. May be some mistakes here so apologise in advance if so, but gives the general idea on how to isolate x

Lisa Ryckman on abs workouts - Rocky Mountain News

Lisa Ryckman on abs workouts Rocky Mountain News, CO - Jul 1, 2008 Remember your quadratic equations: what you do to one side, you must do to the other. Mark_Wolf(Q) If you have a back problem - or want to avoid one - what ...

Brothers are still wild about Harry and the Potters band - Dallas Morning News

Brothers are still wild about Harry and the Potters band Dallas Morning News, TX - Jul 2, 2008 Math the Band sings about water cycles and the quadratic formula, and Uncle Monsterface performs with sock puppets. Peanut butter and jelly sandwiches will ...

RichLink® ePublishing Suite Solves Revenue Challenges for Online Publishers

PALO ALTO, Calif., October 3, 2001–Sentius Corporation, developer of RichLink®, today announced the launch of its revenue-driving ePublishing suite. Both parts of the ePublishing suite,...

Confused about Vioxx? Doctorsolve Suggests Questions to Ask Your Physician

(PRWEB) March 24, 2005 -- If you suffer from arthritis, you've undoubtedly heard of Merck's blockbuster arthritis drug, Vioxx. Some 1.3 million Americans take Vioxx, which Merck voluntarily withdrew...

Yves Bodson, Photographer, presents "Quadratics: Art, Aesthetics and Mathematics" at Trifecta Gallery in Las Vegas, April 8-15, 2005.

(PRWEB) March 24, 2005 -- If you suffer from arthritis, you've undoubtedly heard of Merck's blockbuster arthritis drug, Vioxx. Some 1.3 million Americans take Vioxx, which Merck voluntarily withdrew...

NOVA Online Examines the One-Hundred Year History of the World-Famous Equation E=MC2 on PBS.ORG

Boston, MA (PRWEB) July 12, 2005 -- To mark the one-hundredth anniversary of Einstein's famous equation, E=mc2, NOVA has launched a Web site (http://www.pbs.org/nova/einstein) that features exclusive...

Einstein's Big Idea NOVA Online Examines the One Hundred-Year History of the World-Famous Equation E=mc2 on Pbs.org

Boston, MA (PRWEB) September 27, 2005 -- To mark the one-hundredth anniversary of Einstein's famous equation, E=mc2, NOVA has launched a Web site (www.pbs.org/nova/einstein) that features exclusive...

New Medicare Cost Assessment Gives Seniors a Quick and Easy Way to Decide if Plan D is Right for Them.

October 13, 2005 (PRWEB) October 13, 2005 -- Millions of elderly and disabled people face a bewildering range of options around Medicare Plan D, which starts on January 1, 2006. Besides having to...

Instant Traffic Formula 2006 Scientific Marketing Report Reveals Shocking Equation About Marketing Online

(PRWEB) December 18, 2005 -- Jason Mangrum, otherwise known as "The Marketing Mad Scientist" discovered a new marketing formula, and recorded it inside a free report called "The...

Strict Processes of Reputable Online Pharmacy Services Help Prevent Abuse of Prescription Drugs by Teens

Vancouver, B.C. (PRWEB) April 5, 2006 -- The Partnership for a Drug-Free America® (www.drugfree.org) recently announced that there is a new category of substance abuse emerging in America. An...

PAS Solves Worldwide Marketing Problem for Home Based Businesses

Orlando (PRWEB) May 6, 2006 -- For years, people all over the world have sought after businesses that allow them to work from the comfort of their home. In fact, there are over 700,000,000 home...