Answer:
- left box: 25/36
- right box: 5/6
Explanation:
If you square the binomial (x -a), you get ...
(x -a)² = x² -2ax +a²
Comparing this to your equation, you find that ...
-2a = -5/3 . . . . . . the x-coefficient
a = (1/2)(5/3) = 5/6
So, the number in the right box is 5/6, and the number in the left box is its square, (5/6)² = 25/36.
Filling these in, the equation reads:
x² -5/3x +25/36 = (x -5/6)²
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That is, the constant in the squared binomial is half the x-coefficient.