I challenge you to answer this. Nobody can do it so far!
what do you challenge me?
If you have a function y=(b*x-a)/(a+c*x) Can you find a value for x if y is given?
x= a*(y+1)/(-c*y+b)
a= -3,516995576918316 b= 0,18734459582847 c= -0,0144436993225714 y=33.6
checking... it should be around 55
You want me to find x, given that y?
I calculated by your formula and its not correct
do you agree that, using your a,b,c x = -3.516995576918316*(y+1)/(0.0144436993225714*y+.18734459582847)
i cant fit that in one line
Here is the graph
$$ x = \frac{-3.516995576918316*(y+1)}{(0.0144436993225714*y+.18734459582847)}$$
do you agree with that then i plug in y = 33.6
wait a sec
what did u get? It must be around 55
I got -180
did u look the graph?
yes, what are you graphing
Viscosity of shugar disolved in vater
you're fitting a quadratic curve to the data?
the curve is \( y = ax^2 + bx + c \)
PS its 3 in the morning here and im going insane
$$ y = -3.516995576918316x^2 + 0.18734459582847x -0.0144436993225714$$
Let's round, we don't need so many decimals. 4 decimal places should be sufficient $$ \large y = -3.517x^2 + 0.1873x -0.0144$$
I just need to find an x with given y.... thats all
do you have the original data
yes, but would you understand it?
if you tell me what is the independent variable, dependent variable
If I can see how you got that equation, I can solve for y.
here is a graphical solution - it doesn't match your estimate of 55 for a solution though
It does confirm the ~ -180 value that @owen3 got
but how can it be -180? look at my graph
\[x = \dfrac{a(y+1)}{b-cy}\] http://www.wolframalpha.com/input/?i=isolate+x,++y%3D%28b*x-a%29%2F%28a%2Bc*x%29
@PhisicsStudent As far as I see your graph is not the graph of the equation you wrote. I used Desmos Graphing page to plot the equation you wrote, using the values of a,b &c you gave. The resulting graph is in my previous post - it is not a continuous curve like you drew
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