Answer
Discriminant = 169; 2 unequal real and rational solutions
Work Step by Step
$2x^2+11x-6=0$
Plug the coefficients into the discriminant of the quadratic formula.
$a=2, b=11, c=-6$
$\sqrt {b^2-4ac}$
$\sqrt {(11)^2-4(2)(-6)}$
$\sqrt {121+48}$
$\sqrt {169}$
Since the discriminant is greater than $0$, the equation has two unequal real and rational solutions.