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rezolvati in R : (x-2)²+(x+3)²=(x-3)²+(x+2)²

Răspuns :

X2-4x+4+X2+6x+9=X2-6x+9+X2+4x+4
2X2+2x+13=2X2-2x+13
2x2+2x+13-2x2+2x-13=4x

cel mai simplu mod fara a desface parantezele

(x-2)^2 - (x-3)^2 = (x+2)^2 - (x+3)^2

se aplica formula a^2 - b^2 = (a+b)(a-b)

2x-5 = - (2x+5)

x = 0

sper ca e clar