Question #957bb

1 Answer
May 24, 2016

no real roots

Explanation:

To determine the number of real roots, find the discriminant of the given equation.

The discriminant is given as:

color(blue)(|bar(ul(color(white)(a/a)D=b^2-4ac color(white)(a/a)|)))

In your case:

a=1color(white)(X),color(white)(X)b=3color(white)(X),color(white)(X)c=9

Plugging in the numbers,

D=b^2-4ac

D=(3)^2-4(1)(9)

D=9-36

D=-27

Since the discriminant is less than 0, there are no real roots.