MHB Rational Expressions: Subtract 1/2x-7/x-3

sandra2
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1/2x-7/x-3 Subtract
 
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Do you mean:

$$\frac{1}{2x}-\frac{7}{x-3}$$?

If so, can you show what you've tried so far or give your thoughts on how you should begin?
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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