Difference between revisions of "User:Nm1728"
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i do math :) | i do math :) | ||
| − | + | xth grader. fake AIME qualifier | |
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| − | + | For what value of <math>a</math> does there exist exactly <math>5</math> real solutions to the system? | |
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<cmath>y = \left|x^2-2a\right|</cmath> | <cmath>y = \left|x^2-2a\right|</cmath> | ||
<cmath>x^2+(y-a)^2=a^2</cmath> | <cmath>x^2+(y-a)^2=a^2</cmath> | ||
Revision as of 21:34, 12 November 2023
i do math :) xth grader. fake AIME qualifier
For what value of 
does there exist exactly 
real solutions to the system?
![\[y = \left|x^2-2a\right|\]](http://latex.artofproblemsolving.com/3/1/f/31ffa68be0b8c0cd72224855bbf086c7fe1abade.png)
![\[x^2+(y-a)^2=a^2\]](http://latex.artofproblemsolving.com/3/d/1/3d153cdf64d31e2a4075879f2cd579b59368c1e0.png)
