How many, and what type of, solutions does y=x2−8x+2 have?
2 nonreal solutions
2 rational solutions
1 rational solution
2 irrational solutions

two real, unequal solutions

Step-by-step explanation:

y=x^2 − 8x + 2 is immediately identifiable as a quadratic equation.  Its coefficients are a = 1, b = -8 and c = 2.  Thus, its discriminant is b^2 - 4ac, or, here,

(-8)^2 - 4(1)(2) = 64 - 8 = 56

Because the discriminant is positive, this equation has two real, unequal solutions.