Jen Markham Potw
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Transcript of Jen Markham Potw
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Jen Markham
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2 2 2 2 ...
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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=
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2 2n n
To solve for n, square both sides.
222n n
2 2 0n n Factorable???
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21 ( 1) 4( 2)
2n
2 4
2
b b acn
a
Using the quadratic formula…
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This then simplifies to:
1 9
2n
1 3
2n
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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
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The final answer is
n=2.