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The sequence represents the number of line segment ends in the previous letter.

A,2,B,0,C,2,D,0,E,3,F,3,G,2,H,4,I,4,J,(2 or 3, depending on how it is written) and so on.

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Q: B 0 C 2 D 0 E 3 F 3 G -what comes next?
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X2 - 9 divided by x2 3?

(x2 - 9) / (x2 + 3) does not have a simple solution. Perhaps the question you were actually looking to have answered was:(x2 - 9) / (x + 3)Which is equal to (x - 3). This is called a difference of squares, where any time you see a term in the format:(x2 - b2)You know that it is equal to (x + b)(x - b). Of course, (x + b)(x - b) / (x + b) will be equal to (x - b), giving you the answer above.If on the other hand, you are indeed looking for the answer to (x2 - 9) / (x2 + 3), you could try long division. That will give you 1 with a remainder of negative twelve, or:1 + 12/(x2 + 3)Alternately, if you have a value for the term, you can solve the equation:(x2 - 9) / (x + 3) = ax2 - 9 = ax + 3ax2 - ax = 9 + 3ax2 - ax + (a/2)2 = 9 + 3a + (a/2)2 ← this is called "completing the square".(x - (a/2))2 = 9 + 3a + (a/2)2x - (a/2) = [9 + 3a + (a/2)2]1/2x = [9 + 3a + (a/2)2]1/2 + a/2You can then plug in whatever value is given for 'a'. For example, if it's equal to zero:x = [9 + 3(0) + (0/2)2]1/2 + 0/2x = (9 + 0 + 0)1/2 + 0x = 91/2x = 3Note that x can not be equal to negative three, as that would cause division by zero in the original equation.


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