Question 1110465: For the quadratic equation, find the value of the discriminant and give the number of real solutions.
3x^2+8x=0 Found 2 solutions by Alan3354, ikleyn:Answer by Alan3354(69443) (Show Source):
Referring to the general form of a quadratic polynomial/equation
p(x) = ax^2 + bx + c = 0
the formula for the discriminant is
d = b^2 - 4ac.
In your case, a = 3, b = 8, c = 0.
Calculate the discriminant on your own.
If d > 0, there are 2 real solution.
If d = 0, there is only one real solution ("two real solutions merge into one").
If d < 0, there are no real solution. (There are two complex solutions instead).
Having this instructions from me, you do the rest.