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