posted by Blake .
for the follwong equation, state the value of the discriminant and then describe the nature of the solutions:
Are you sure you don't mean
5x^2+ 9x+ 2 = 0 ?
The answer to what you wrote is
9x = -27
x = -3
The discriminant is b^2-4ac.
In this case a = 5, b = 9 and c = 2.
Take it from there. You may need to review what the quadratic equation is all about. If so, see