Question

Descompune membrul stang intr-un produs si rezolva ecuatiile urmatoare:

8-x^2=0
y^2+5y+6=0
3z^2-1=0

Answer 1

8-x^2=0
(2√2-x)(2√2+x)=0
2√2-x=0     x=2√2
2√2+x=0    x=-2√2

y^2+5y+6=0
y^2-2y-3y+6=0
y(y-2)-3(y-2)=0
(y-2)(y-3)=0
y-2=0  y=2
y-3=0  y=3

3z^2-1=0
(z√3-1)(z√3+1)=0
z√3-1=0      z=1/√3      z=√3/3
z√3+1=0     z=-1/√3      z=-√3/3