Question #957bb

1 Answer
May 24, 2016

Answer:

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.