- quadratic function worksheet
- quadratic b-4ac
- solve quadratic by factorization
- questions to ask quadratic equations solve
- quadratic equations solver step by step
- a level maths solving quadratic equations
- rules for cubic and quartic factorisation
- writing quadratic functions in vertex form
- quadratic equations can be solved by graphing2c using the quadratic formula2c completing the square2c and factoring. what are the pros and cons of each of these methods3f
- pros and cons systems of equations
- fence finding maximum area using quadratic equations
- human resource management and organizational performance evidence from retail banking ann.p bartel
- "x squared=100"
- o
- the easiest way to solve formula
- simple way to solve equations
- factor quadratic calculator
- having problems with quadratic equations word problem
- simultanous equations online
- revolving of quadratic equations
|
|
Input Quadratic Equations Online
Solving Quadratic Equations
But there was more!: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
