That's what I was going to say, contact Dell & see what they say. Sometimes, depending on the mood of the tech you reach, you may luck up & get it fixed (or replaced) for the shipping charges,
Though it's too late now, whenever you buy a Dell, you should always request a free restore DVD, the main reason they supply these are because the original resinstall media that the customer can create, or a Recovery Drive, will only reinstall the OS to a drive the same size or larger than the original. Many installs SSD's, which doesn't void the warranty, provided nothing is broken in the process & a clean install media is needed.
And it's always best to purchase an extended warranty from SquareTrade, these are low cost, often online promo codes can be found for up to 40% or $30, whichever is greater, for up to a 4 year warranty. It's best to get as much as you can while new. 4 years of SquareTrade will cost less than 1 year od Dell's extended. The cool thing about SquareTrade, if the cost to repair is more than the current worth of the item, they don't ship a refurb (as most other store warranties does), they refund 100% of the purchase price within 5 business days & you can take that & use it to purchase today's technology. I've received 3 such refunds from the company w/no hassle. SquareTrade even pays for shipping & arranges for UPS pickup.
This is for if you should purchase a computer in the future, or this one can't be repaired at a reasonable price & need to get another. You have 30 days from purchase to buy a plan. They cover many other items also, such a cell/smartphones, TV's, most all major electronics/appliances.
It's my hope that Dell will do something to make this right.
And as wpgwpg stated, backups to an external drive are your best protection against many failures, be it a drive (HDD/SSD), Windows corruption, or infection. It's very important to disconnect the backup drive while not in use, for two reasons.
1) To prevent unnecessary wear to the external drive,
2) To prevent infections from corrupting your backups. The "Crypto" infections will also make your backups useless if connected.
Hopefully this will work out. This is the unfortunate thing about portables over tower or SFF (small form factor) PC's, portables are far harder for the home user to repair. Many OEM's doesn't repair the one that was returned, rather they quick ship a refurb or open box of the same model or another of equal or higher specs & reinstall your HDD/SSD (if working). If a format of the drive is required to reinstall, the customer has to pay for data to be saved. Whereas towers & SFF's can be easily repaired with replacement components from Newegg, Amazon or eBay (or other suppliers).
Good Luck in contacting Dell for a resolution.
All the Best,