Week 4

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8/7/2012 -- 14/7/2012 (Wk 4)

1. Solve for x:

$\displaystyle{\frac{x-3}{2001}+\frac{x-5}{1999}+\frac{x-7}{1997}+\frac{x-9}{1995}=\frac{x-2000}{4}+\frac{x-1998}{6}+\frac{x-1996}{8}+\frac{x-1994}{10}}$

2. A point inside a square is positioned so that the distances to the four vertices are 27,21,6,x. If x is a whole number, what is the value of x?