Answer:
C. two real solutions
Step-by-step explanation:
Your quadratic matches the form ...
ax^2 +bx +c = 0
for the values a=2, b=7, c=-15.
The discriminant is ...
d = b^2 -4ac
For your values of a, b, c, the discriminant value is ...
d = 7^2 -4(2)(-15) = 169
The discriminant is positive, indicating there are two real solutions.
_____
When the discriminant is negative, there are no real solutions, only complex solutions.
When the discriminant is zero, there is one real solution.
__
This equation factors as (2x-3)(x+5) = 0 and has solutions x=3/2, x=-5.
