## College Algebra (6th Edition)

$x^2-3x-7=0$ 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.