if the discriminant of a quadratic equation is 4, which statement describes the roots?\nthere are two…

if the discriminant of a quadratic equation is 4, which statement describes the roots?\nthere are two complex roots.\nthere are two real roots.\nthere is one real root.\nthere is one complex root.

if the discriminant of a quadratic equation is 4, which statement describes the roots?\nthere are two complex roots.\nthere are two real roots.\nthere is one real root.\nthere is one complex root.

Answer

Explanation:

Step1: Recall the discriminant rule

For a quadratic equation (ax^{2}+bx + c = 0) ((a\neq0)), the discriminant is (\Delta=b^{2}-4ac).

  • If (\Delta>0), there are two distinct real roots.
  • If (\Delta = 0), there is one real root (a repeated root).
  • If (\Delta<0), there are two complex roots.

Step2: Analyze the given discriminant

Given (\Delta = 4>0).

Answer:

There are two real roots.