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How to figure out hard math problems.

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Having trouble figuring out problems like 2+2? Its 4 :)

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Junior Math League Competition

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The following are the 2 problems from the NVCM math league contest. The answers will be provided at the bottom. Note: This requires knowledge and use of both geometry and algebra. Also " means the same as the previous equation. 1. The difference between two consecutive perfect squares is 739. Write the larger of these perfect squares. Solution: Let x^2 be the larger and (x-1)^2 be the smaller of the two squares. Then 739= x^2-(x-1)^2 "=x^2-(x^2-2x+1) "=2x-1 740=2x 370=x You must find the larger which is represented by x^2 so---- x^2 370^2 136,900---- Answer 2. The product of two positive, consecutive odd integers is 4623. Find the smaller integer. Solution:
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