So the equation to find the discriminant is √(b^2 - 4ac), with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation above, we can solve for it as such:
[tex] \sqrt{7^2-4*2*6}\\ \sqrt{49-48}\\ \sqrt{1}\\ 1 [/tex]
Since the discriminant is greater than zero and a perfect square, this means that there are 2 real, rational solutions to this polynomial.
