Answer:
2 real and distinct roots
Step-by-step explanation:
using the discriminant Δ = b² - 4ac
• If b² - 4ac > 0, then 2 real , distinct roots
• If b² - 4ac = 0, then 2 real and equal roots
• If b² - 4ac < 0, then 2 complex roots
for - x² - 12x + 4 = 0
with a = - 1, b = - 12, c = 4, then
b² - 4ac = (- 12)² - (4 × - 1 × 4) = 144 + 16 = 160
since b² - 4ac > 0 then there are 2 real and distinct roots
