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[tex] (x-2)^{2} [/tex] - [tex] x^{2} [/tex] + 8 = 0
Rezolvare completa si detaliata, va rog.


Răspuns :

x^2-4x+4-x^2+8=0
x^2-x^2-4x+4+8=0
12=4x
x=12:4
x=3

VERIFICARE
(3-2)^2-3^2+8=0
1-9+8=0
-8+8=0
0=0 ADEVARAT pt x=3
[tex] (x-2)^{2} - x^{2} + 8 = 0 \\ x^{2}-4x+4+8=0 \\ x^{2}-4x+4-x^{2}+8=0 \\ 12-4x=0 \\ 4x=12 \\ x=3[/tex]