What does the term 'Discriminant' mean?
The question is: Calculate the Discriminant of
Recall that the solutions to the quadratic equation are, by the quadratic formula, . Whether there are two real roots, one double root, or two complex roots depends upon whether the number in the square root, is positive, zero, or negative.
That number, is the "discriminant".
As row said, in your case, the discriminant is -71. That tells us that the equation has two complex roots.
It als tells us that the graph of does not cross the x-axis but is entirely in the upper half-plane.