Bună! ⭐
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3x²+5x+2 = 0
a=3 ; b= 5; c=2
Δ = b²-4ac = 25-24 = 1
[tex]=> x_{1} =\frac{-b-\sqrt{delta} }{2a} =\frac{-5-1}{6} =\frac{-6}{6} =-1[/tex]
[tex]=> x_{2} =\frac{-b+\sqrt{delta} }{2a} = \frac{-5+1}{6} =\frac{-4}{6} =-\frac{2}{3}[/tex]
[tex]A=\left \{ \left-1;-\frac{2}{3} \}[/tex]
A ∩ (-1; √2) = [tex]\left \{ \left -\frac{2}{3} \}[/tex]
#copaceibrainly