Question

Question #957bb

Answer 1

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.