y = x² - 3x + 2
The x-intercepts can be take by matching the equation to 0, so,
x² - 3x + 2 = 0
Δ = b² - 4.a.c
Δ = -3² - 4 . 1 . 2
Δ = 9 - 4. 1 . 2
Δ = 1
There 2 real roots.
x = (-b +- √Δ)/2a
x' = (--3 + √1)/2.1
x'' = (--3 - √1)/2.1
x' = 4 / 2
x'' = 2 / 2
x' = 2
x'' = 1
Alternative A.