Answer:
2 real solutions
Explanation:
To determine the nature of the solutions use the discriminant
Δ = b² - 4ac
• If b² - 4ac > 0 then 2 real solutions
• If b² - 4ac = 0 the 2 real and equal solutions
• If b² - 4ac < 0 then no real solutions
Given
x² + 9x + 20 = 0 ← in standard form
with a = 1, b = 9, c = 20, then
b² - 4ac
= 9² - (4 × 1 × 20 ) = 81 - 80 = 1
Since b² - 4ac > 0 then there are 2 real solutions