The quadratic formula for a quadratic of the form ax^2+bx+c is
x=(-b±[tex] \sqrt{b^2-4ac} [/tex])/(4a)
The discriminant is the part under the radical sign.
There are three possibilities for the discriminant and the roots that the formula will produce.
The discriminant is positive: There will be two real roots.
The discriminant is negative: There will be no REAL root, however there will be two imaginary roots
The discriminant is zero. There will be one real root.
In this example. b^2-4ac=169-144=25
So there will be two real roots as it is greater than zero.
