Answer:
Discriminant = 120
Number of x intercepts = 2
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Step-by-step explanation:
The equation is of the form ax^2+bx+c with:
a = -7
b = 8
c = 2
The discriminant is
d = b^2 - 4ac
d = 8^2 - 4(-7)(2)
d = 64 + 56
d = 120
The discriminant is positive, meaning there are 2 different x intercepts.
If d = 0, then we'd have only one x intercept.
If d < 0, then there wouldn't be any x intercepts.