Question

stabiliti solutia intreaga a ecuatiei: (x+2)la 2/2 - (x-3)(x+3)/3=2x-1/2 +(x-1) la2/6

Answer 1

(x+2)²/2-(x-3)(x+3)/3-(2x-1)/2=(2x-1)/2+(x-1)²/6 desfacem parantezele⇒
(x²+4x+4)/2-(x²-9)/3-(2x-1)/2=(2x-1)/2+(x²-2x+1)/6 aducem la acelasi numitor care este 6⇒
(3x²+12x+12-2x²+18-6x+3)/6=(6x-3+x²-2x+1)/6
x²+6x+33=x²+4x-2
x²+6x-x²-4x=-2-33
2x=-35
x=-35/2