What is the discriminant of #d^2− 7d + 8 = 0# and what does that mean?
For this quadratic,
For a quadratic equation written in the general form
the determinant is equal to
Your quadratic looks like this
which means that, in your case,
The determinant for your equation will thus be equal to
Because the discriminant is not a perfect square, the two roots will be irrational numbers.
In your case, these two roots will be