22092x0xry_cms 2025-2026 nc math 2 credit recovery\ncomplex numbers and square roots\nif the discriminant of…

22092x0xry_cms 2025-2026 nc math 2 credit recovery\ncomplex numbers and square roots\nif the discriminant of a quadratic equation is 4, which statement describes the roots?\nthere is one complex root.\nthere are two complex roots.\nthere is one real root.\nthere are two real roots.
Answer
Explanation:
Step1: Recall discriminant rules
For quadratic $ax^2+bx+c=0$, discriminant $\Delta = b^2-4ac$:
- $\Delta > 0$: Two distinct real roots
- $\Delta = 0$: One real repeated root
- $\Delta < 0$: Two complex conjugate roots
Step2: Evaluate given discriminant
Given $\Delta = 4$, which is $\Delta > 0$.
Answer:
There are two real roots.