WP 34S will not turn on

[BarryMead]

I don't know how your situation could arise. If you don't want to discard the calculator, then the next course of action is to find a friend with a flashing cable
and attempt to re-flash the firmware from a cold start using the button sequences on
the flashing instructions in the manual. Since you can't be sure of the current draw of the calculator when the display isn't working it would be a good idea to attempt the flashing procedure with a completely FRESH set of batteries.