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.