Does anyone know this?

Hi there!

The correct answer is: (x+8)² = 73

Step-by-step explanation:

First you want to modify the equation: x² + 16x - 6 = 3 into x² + 16x = 9 by adding 6 on both sides.

Then you analyze the new equation, if you can see, 16x is positive which means two positive numbers have to be added up to equal a positive. Which eliminates the choices that have (x-8)²

And now you are left with two choices:

(x+8)² =73 and (x+8)² = -55

Now remember, when you factor out (x+8)² it equals to x² + 16x + 64

next let's bring it back to the very first equation: x² + 16x = 9

now which choice matches the result x² + 16x = 9. The answer will be (x+8)² = 73 because when you subtract 64 on both sides you get 9.

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step-by-step explanation: