Burnley thrashed 10-man Sheffield United to record a significant Premier League win and pile huge pressure on Blades boss Paul Heckingbottom.
The Clarets had lost their past six league games and all seven at home this term, but moved off the bottom of the table, beating their fellow relegation candidates for a priceless second victory of the season.
Striker Rodriguez's stooping header from Charlie Taylor's pinpoint cross was the fastest in the top flight this season and gave Burnley a blistering start and a lead which they did not relinquish.
On-loan winger Jacob Bruun Larsen doubled their lead with a cool finish after latching on to Dara O'Shea's long ball over the top as Burnley took total control.