Question

Determina modulul celei mai mici solutii reale a ecuatiei 2x2+5x+2=0

Answer 1

[tex]2x^2+5x+2=0\\ 2x^2+4x+x+2=0\\ 2x(x+2)+(x+2)=0\\ (x+2)(2x+1)=0\\ \text{Avem de analizat doua cazuri:}\\ i)x+2=0\Rightarrow x_1=-2\\ ii)2x+1=0\Rightarrow x_2=-\dfrac{1}{2} \\ \text{Deoarece }-2\ \textless \ -\dfrac{1}{2},\text{cea mai mica solutie este -2.}\\ |-2|=2 [/tex]

Answer 2

2×2+5x+2=0
4+5x+2=0
6+5x=0
5x=-6
x=-6/5