Answer:
[tex]x = -1[/tex]
explanation:
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when \\\\ax^2 + bx + c = 0[/tex]
given equation: 2x² + 5x + 3
using quadratic formula:
[tex]x = \frac{ -b + \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{ -5 + \sqrt{5^2 - 4(2)(3)}}{2(2)}[/tex]
[tex]x = \frac{ -5 +\sqrt{25 - 24}}{4}[/tex]
[tex]x = \frac{ -5 +\sqrt{1}}{4}[/tex]
[tex]x = \frac{-5 +1}{4}[/tex]
[tex]x = \frac{-4}{4}[/tex]
[tex]x = -1[/tex]
