Difference between revisions of "2007 Alabama ARML TST Problems/Problem 1"
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==Solution== | ==Solution== | ||
| − | <math>2000(2000+7)(2000+8)(2000+15)+784</math> | + | <center><math>\sqrt{2000(2000+7)(2000+8)(2000+15)+784}</math> |
| − | <math>=(2000^2+15\cdot 2000+56)(2000^2+15\cdot 2000)+28^2</math> | + | <math>=\sqrt{(2000^2+15\cdot 2000+56)(2000^2+15\cdot 2000)+28^2}</math> |
| − | <math>=(2000^2+15\cdot 2000+28)(2000^2+15\cdot 2000+28)-28^2+28^2</math> | + | <math>=\sqrt{(2000^2+15\cdot 2000+28)(2000^2+15\cdot 2000+28)-28^2+28^2}</math> |
| − | + | <math>=2000^2+15\cdot 2000+28=\boxed{4030028}</math></center> | |
==See also== | ==See also== | ||
{{ARML box|year=2007|state=Alabama|before=First Question|num-a=2}} | {{ARML box|year=2007|state=Alabama|before=First Question|num-a=2}} | ||
