Determine the nature of the roots: 2x^(2) +8x +3=0 a. two distinct real solutions c. cannot be determined b. no real solutions d. a unique real solution

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

where is the page?

step-by-step explanation:

step-by-step explanation:

it's is b