solve equation

hello

I am currently wanna to solve this equation below. f = x^3.34 + 841*x^2.34 + 2236*x-12678808

I used syms x;

solve(f,'x')

but the matlab give the answer of RootOf(X1^167 + 42050*X1^166 + 866419225*X1^165 + 11658537091600*X1^164 +.....

May i know how to solve this equation above?

Thank

Answer 1

[Paulo Silva]

f =@(x) x^3.34 + 841*x^2.34 + 2236*x-12678808
fsolve(f,0)

You can also see the solution on a figure (try the data cursor)

f =@(x) x^3.34 + 841*x^2.34 + 2236*x-12678808;
ezplot(f,58,60);
p=fsolve(f,0);
hold on
grid on
plot(p,f(p),'x','LineWidth',2,...
                'MarkerEdgeColor','r',...
                'MarkerSize',20)

Answer 2

[Walter Roberson]

What answer were you expecting when you asked for the algebraic solution of an expression with a floating point exponent? For example, is x^2.34 the same as x^(234/100) or should it be x^(117/50) or something else that happens to be representable as 2.34 ? The answers are different depending on the representation.