jen markham potw

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Jen Markham

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Page 1: Jen Markham Potw

Jen Markham

Page 2: Jen Markham Potw

2 2 2 2 ...

Page 3: Jen Markham Potw

2n n

2 2 ...2 2

Let’s call everything that comes after the first 2, “n”, (why can we do that??) so we can rewrite the expression as:

If n=

Page 4: Jen Markham Potw

2 2n n

To solve for n, square both sides.

222n n

2 2 0n n Factorable???

Page 5: Jen Markham Potw

21 ( 1) 4( 2)

2n

2 4

2

b b acn

a

Using the quadratic formula…

Page 6: Jen Markham Potw

This then simplifies to:

1 9

2n

1 3

2n

Page 7: Jen Markham Potw

1 3 42

2 2n

However, n=-1 is an extraneous root because if we check it in our original equation , n=-1

doesn’t check!The final answer is n=2.

Splitting the two roots apart yields,

or1 3 2

12 2

n

2n n

Page 8: Jen Markham Potw

The final answer is

n=2.