Question

DAU 20 PUNCTE:
c. 2(x-3)²=x(x-2)+(x+1)²
d. (x+3)(x-3)=(x+2)²+x+2

Answer 1

[tex]c.\ 2(x-3)^2=x(x-2)+(x+1)^2\\ 2(x^2-6x+9)=x^2-2x+x^2+2x+1\\ 2x^2-12x+18=2x^2+1\\ 12x=17\Rightarrow \boxed{x=\dfrac{17}{12}}[/tex]
[tex](x+3)(x-3)=(x+2)^2+x+2\\ x^2-9=x^2+4x+4+x+2\\ 5x+6=-9\\ 5x=15\\ \boxed{x=3}[/tex]

Answer 2

2(x-6x+9)=x la puterea a 2 a-2x+x la puterea a doua +2x+1
2x la a doua -12x+18=2xla a doua +1
-12x+18=1
-12x=1-18
-12x=-17
X= 17 supra 12