8. An Introduction to Equations
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Use mental math to guess the starting value for the table.
1=-1/4n+1 This is not the easiest thing to calculate in our heads. Let's solve this equation using a table. In order to choose a good starting point for our table, let's pretend that the equation is 1=- 14n. What multiplied by - 14 would get us close to 1? -4 would be valid, so let's try that in our table. We can build the table from there.
n | -1/4n+1 | = |
---|---|---|
-4 | -1/4(-4)+1 | 2 |
-3 | -1/4(-3)+1 | 1 34 |
-2 | -1/4(-2)+1 | 1 24 |
-1 | -1/4(-1)+1 | 1 14 |
0 | -1/4(0)+1 | 1 |
We can see that n=0 is the solution to our equation.