The defeat meant the champions had picked up just one point from their opening two games.
“Real was very bad, an unacceptable match,” said Mourinho afterwards.
“The only message I want you to take away tonight is that it was a deserved defeat for us.
“This was a match in which the defeat was absolutely deserved. More than two matches with just one point it was a horrible match.”
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.