Question

Use the discriminant to describe the number and type of roots for the equation.



12⁢𝑥2+9⁢𝑥+1=0



number of roots:1 of 2.
Select Choice

type of root(s):

Answer 1

Compute the discriminant Δ = b^2 − 4ac = 9^2 − 4(12)(1) = 81 − 48 = 33.

Since Δ > 0 and not a perfect square, the equation has 2 distinct real irrational roots.