Bev may be right about needing a motherboard, but you should try clearing BIOS settings before doing anything else. But- obviously- if there's still a warranty, contact Dell and let them take care of it...

Power off and unplug. Press/hold power button for ~15 sec. Open case and remove motherboard coin cell battery. Press/hold power button for ~30 sec. Reinstall battery and close up. See if it boots now.

Working inside a system like this can be tricky so if it's beyond your capabilities, maybe a geeky friend or reliable PC shop can try this for you. Here's the manual with instructions to remove the coin cell battery on page 52. topics-cdn.dell.com/.../inspiron-20-3052-aio_service manual2_en-us.pdf

Even if you have to pay someone to try this, if it works this will be a whole lot cheaper than a new motherboard...