# Maple - solving the unknown t

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• Apr 9th 2012, 04:48 AM
Johanamstel
Maple - solving the unknown t
How can I solve this in Maple.
24000:=((1/12*(350-t)*(350-t)^3)-(Pi/64*(t*(25/10))^4))/(175-t);
I tried solve(...) but it didn't work.

Could anyone help me?

Kind regards,
Johan
• Apr 9th 2012, 05:22 AM
princeps
Re: Maple - solving the unknown t
Code:

`solve({24000 = ((1/12*(350-t))*(350-t)^3-(1/64)*Pi*(t*(25*(1/10)))^4)/(175-t)}, {t})`
• Apr 9th 2012, 05:31 AM
Johanamstel
Re: Maple - solving the unknown t
This is my answer.

{t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 1)}, {t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 2)}, {t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 3)}, {t = 40*RootOf(1495585+(256-1875*Pi)*_Z^4-8960*_Z^3+117600*_Z^2-684848*_Z, index = 4)}

This could not be right?
• Apr 9th 2012, 05:48 AM
princeps
Re: Maple - solving the unknown t
The explicit solutions to high-degree polynomials can be very large, so Maple may return a solution using RootOf expressions as placeholders. Maple may also use RootOf expressions as placeholders when it cannot find an explicit form for the solution of a non-algebraic equation in one variable.
• Apr 9th 2012, 11:24 AM
Johanamstel
Re: Maple - solving the unknown t
Tnx for your explanation.
I have tried fsolve and it worked.
The answer for t is 109.6055620