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