Answer
Discriminant = 37; 2 unequal real solutions that are irrational
Work Step by Step
$x^2-3x-7=0$
Plug the coefficients into the discriminant of the quadratic formula.
$a=1, b=-3, c=-7$
$\sqrt {b^2-4ac}$
$\sqrt {(-3)^2-4(1)(-7)}$
$\sqrt {9+28}$
$\sqrt {37}$
Since the discriminant is greater than $0$, the equation has two unequal real solutions that are irrational.
