Question

Y - 5 = 0.5x2 + 6x - 3 How many x-intercepts does this have?
 update!!! the answer is 2

Answer 1

y = 0.5x^2 + 6x + 2 (adding 5 to both sides of the original equation)

Discriminant b^2 - 4ac = 6^2 - 4 * 0.5 * 2 = 36 - 4 = 32

The discriminant is positive and not a perfect square so the equation has 2 x intercepts.

Answer 2

The answer is actually 2 because you have 0.5x (I think that's what it's supposed to be) and 6x.