Answer:
2 real and distinct roots
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c ( a ≠ 0 )
Then the nature of the roots are given by the discriminant
Δ = b² - 4ac
• 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 2 complex roots
x² + 8x + 13 = 0 ← is in standard form
with a = 1, b = 8, c = 13 , then
b² - 4ac = 8² - (4 × 1 × 13) = 64 - 52 = 12
Since b² - 4ac > 0 then the equation has 2 real and distinct roots
