Question

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

Answer 1

$x^{2} + (x+1)^{2}+ (x-1)^{2} = (x+2)^{2}+ (x-2)^{2}+3<=>$
$x^{2} + x^{2} +2x+1+ x^{2} -2x+1= x^{2} +4x+4+ x^{2} -4x+4+3<=>$
$3 x^{2} +2=2 x^{2} +11=> x^{2} =9=> x_{1}= -3, x_{2} =3$