# Can someone help me to solve this equation? [closed]

Solve[beta* phi *((1 + (1 - m)*alpha*theta ((phi^(-0.5) - 1)/((1 - theta)*phi^(-0.5) + theta)))) - delta == 0, phi]

I run it and get nothing showing as results. Thanks so much for your help!!! Appreciated!

• Use Solve (not solve)? – kglr Jul 3 at 5:07
• Also, use -1/2 instead of -0.5 in the exponent to allow for exact solving. – Roman Jul 3 at 6:31
• This is a 3rd-order equation. In general, such equations cannot be solved in a simple form. However, a nice solution might exist if you set some parameters to zero. – yarchik Jul 3 at 9:10

The most compact way of writing these solutions would be as squares of Root objects:
{Root[#^2*β-δ+(#-1)*(#^2*(1+(m-1)*α)*β-δ)*θ &, 1]^2,

Solve[\[Beta] \[Phi] ((1 + (1 - m) \[Alpha] \[Theta] ((\[Phi]^(-1/2) - 1)/((1 - \[Theta]) \[Phi]^(-1/2) + \[Theta])))) - \[Delta] == 0, \[Phi]]