Won't start up - Suggestions needed

[c1eddy]

A SystemMax Gamer computer (Office Depot build-to-order) will not start up after one year of use. Computer's case fans come on very briefly when I flip on the off switch on backside of the case. Nothing happens at all when I press the start buttton on the front.
Computer shop said motherboard is B/O...wanted $300-400 to replace. Does this make sense? Hoping someone can offer suggestions on how to verify this diagnosis.

 

[pkme2]

If you don't get any beeping you could have problems like burnt out mobo and if it costs $300-$400 to replace, I usually recommend a new commputer.

There are new eMachines for less than $360.00.
eMachines T6534