What solver to use for parabolic equation?

Greetings, I have the following equation that I need to solve

1000/((x/10)^(20/19) + ((9*x)/10)^(100/97)) - x = 0

I tried using the following but it took forever and didn't return an answer:

syms x
solve(1000/((x/10)^(20/19) + ((9*x)/10)^(100/97)) - x)

if you plot the equation there is an answer around 30

ezplot(1000/((x/10)^(20/19) + ((9*x)/10)^(100/97)) - x,10,100)

but I cannot seem to find it using the solver.

Thanks in advance

Answer 1

[Walter Roberson]

I am pretty sure there is no closed form solution to that. You will probably need to use a numeric solver.

[Fafar]

thanks. can you elaborate on how to do that?

[Walter Roberson]

See fzero() or fsolve(). Or if you want to work symbolically, the MuPAD command numeric::solver (note: there is no MATLAB interface for that.)

Answer 2

[Deepak Ramaswamy]

You can try vpasolve, Symbolic Math Toolbox's numeric solver. This returns - 30.078324091827534639885832779983 + 1.5357472679395261619060458042632*I. If you subs the solution back in to the equation, you get - 1.7632415262334312619531048058334e-38 + 5.8774717541114375398436826861112e-39*I which is close to zero