Answer:
x = 4
Step-by-step explanation:
ƒ(x) = ⅛x² - x + 2 = 0
x² - 8x + 16 = 0
We must find two numbers whose product is 16 and whose sum is -8.
A little trial and error gives us -4 and -4. We can factor the expression as
(x - 4)(x - 4) = 0 or
(x - 4)² = 0
x - 4 = 0
x = 4
The zero of the function is x = 4.
The graph of ƒ(x) just touches the x-axis at (4, 0).
