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solving equations using HP48G
Message #1 Posted by Catherine Green on 20 Feb 2006, 7:53 p.m.

I have an equation that I need to find the roots for. The equations looks like this:

x=3.5x(3.5x(1-x)[1-3.5x(1-x)]

Can it be entered into the HP48G? If so, how?

      
Re: solving equations using HP48G
Message #2 Posted by Namir on 20 Feb 2006, 10:40 p.m.,
in response to message #1 by Catherine Green

Catherine,

Afer you nvoke the Solver, you enter the followig equation (the Solver provides the single quotes):

'Y=SQ(3.5*X)*(1-X)*(1-3.5*X*(1-X))'

And then select th OK menu. The above equation defines two variables Y and X. The solver will display these variables. Enter 0 for Y and then enter a guess for X, followed by pressing the SOLVE menu command. Th SOLVER will display the solution for Y=0, i.e. the root.

The above equaion has a root of X=1.

Namir

Edited: 21 Feb 2006, 1:15 a.m.

      
Re: solving equations using HP48G
Message #3 Posted by James M. Prange (Michigan) on 20 Feb 2006, 10:52 p.m.,
in response to message #1 by Catherine Green

Quote:
I have an equation that I need to find the roots for. The equations looks like this:

x=3.5x(3.5x(1-x)[1-3.5x(1-x)]

Can it be entered into the HP48G? If so, how?


Multiplication must be explicit, and brackets (and braces, for that matter) are not the same as parentheses. Try:
'x=3.5*x*(3.5*x*(1-x)*(1-3.5*x*(1-x)))'

Regards,
James

Edited: 20 Feb 2006, 11:02 p.m.

            
Re: solving equations using HP48G
Message #4 Posted by hugh steers on 21 Feb 2006, 8:37 p.m.,
in response to message #3 by James M. Prange (Michigan)

the 48g has a polynomial solve as well. i think its in the solve menu somewhere. you have to enter the coefficients as a vector of numbers but it can find all the roots at once - even the complex ones.


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