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Rezolvati ecuatia:
x^2=(x+1)^2+(x-1)^2=(x+2)^+(x-2)^2+3


Răspuns :

[tex] x^{2} + (x+1)^{2}+ (x-1)^{2} = (x+2)^{2}+ (x-2)^{2}+3<=> [/tex]
[tex]x^{2} + x^{2} +2x+1+ x^{2} -2x+1= x^{2} +4x+4+ x^{2} -4x+4+3<=> [/tex]
[tex]3 x^{2} +2=2 x^{2} +11=> x^{2} =9=> x_{1}= -3, x_{2} =3 [/tex]