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3 years ago

Can I get some help been trying to figure this question on but don’t seem to get it.

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

left box: 25/36
right box: 5/6

Step-by-step 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

That is, the constant in the squared binomial is half the x-coefficient.

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