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rezolvati in multimea numerilor reale ecuatia √x²+1=x+1

Răspuns :

√x²+1=x+1

√x² - x = 1 - 1
√x² - x = 0

√x² = ±x
Avem doua ecuatii:
E1:
x - x = 0
0 = 0
Aceasta ecuatie are o infinitate de solutii.

E2:
-x -x = 0
-2x = 0
=> x = 0