Respuesta :
Answer:
a
Step-by-step explanation:
Given a quadratic equation in standard form ax² + bx + c = 0 (a ≠ 0 )
Then the discriminant b² - 4ac determines the nature of the roots.
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Given
2x² + 8x + 3 = 0 ← in standard form
with a = 2, b = 8, c = 3 , then
b² - 4ac = 8² - (4 × 2 × 3) = 64 - 24 = 40
Since b² - 4ac > 0 then 2 real and distinct roots → a