Answer:
two distinct real roots
Step-by-step explanation:
The coefficients of the equation are ...
a = 1
b = -5
c = -3
So, the discriminant, b^2-4ac, has the value ...
(-5)^2 -4(1)(-3) = 25 +12 = 37
This number is positive, so the square root of it is non-zero and real. This means the two roots are real and distinct.
