Difference between revisions of "2023 IOQM/Problem 11"
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Thus the maximum value of <math>|m-n|=\boxed{14}</math>. | Thus the maximum value of <math>|m-n|=\boxed{14}</math>. | ||
− | ~Lakshya | + | ~ Siddharth Singh lol Lakshya if u seein this I'm trollin |
Latest revision as of 11:26, 1 September 2024
Problem
A positive integer haas the property that is expressible in the form , where n is an integer. Find the maximum value of .
Solution
. Now we try to complete the square, multiplying by and won't complete the square but on multiplication with we get or .
- : and and , .
- : and and ,.
- : and and , .
- : and and , .
Other cases in which the value of and interchange, the values of m and n will not change in those cases. Thus the maximum value of .
~ Siddharth Singh lol Lakshya if u seein this I'm trollin