Having trouble solving an equation

I am still relatively new to Matlab. I am trying to solve an equation, and when I try to run the code, it doesn't produce an answer.

syms x
eqn = sqrt(((((26892/(x)^3)+(254.7/(x^2)))/2)^2)+(6111.5/((x)^3))^2) == 19000;
sol = solve(eqn, x);

What am I doing wrong?

Answer 1

[Paul]

syms x
eqn = sqrt(((((26892/(x)^3)+(254.7/(x^2)))/2)^2)+(6111.5/((x)^3))^2) == 19000;
expand(eqn)

ans = 

solve is telling it can't find closed form expressions for the eqn

sol = solve(eqn, x)

sol = 

So it returns a solution as the roots of a polynomial. The values of these roots can be optained as follows

vpa(sol)

ans = 

●

Check

subs(eqn,ans)

ans = 

[Quinn]

That did it. Thank you very much for the help!