Answer:
Explanation:
Next time, please be sure to share the possible answer choices. Also, please use " ^ " to indicate exponentiation: x^2 + (2/3)x.
Let's actually "complete the square" here:
Starting with x^2 + (2/3)x, identify the coefficient of the x term (it is 2/3).
Take half of that, which results in 2/6, or 1/3.
Square this result, obtaining (1/3)^2 = 1/9.
Add to, and then subtract from, this square:
x^2 + (2/3)x + 1/9 - 1/9
Rewrite x^2 + (2/3)x + 1/9 as the square of a binomial:
(x + 1/3)^2 - 1/9
In review: add 1/9 to, and then subtract 1/9 from, x^2 + (2/3)x