Question

Use the discriminant to describe the roots of each equation. Then select the best description. 2x2 + 7x + 6 = 0 double root real and rational roots real and irrational roots non-real roots

Answer 1

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:

$\sqrt{7^2-4*2*6}\\ \sqrt{49-48}\\ \sqrt{1}\\ 1$

Since the discriminant is greater than zero and a perfect square, this means that there are 2 real, rational solutions to this polynomial.