Difference between revisions of "2018 AMC 10A Problems/Problem 10"
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== Solution == | == Solution == | ||
| − | <math>\sqrt {49-x^2} + \sqrt {25-x^2}</math> | + | <math>(\sqrt {49-x^2} + \sqrt {25-x^2}) * (\sqrt {49-x^2} - \sqrt {25-x^2}) = 49-x^2 - 25 +x^2 = 24</math> |
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| + | Given that <math>(\sqrt {49-x^2} - \sqrt {25-x^2})</math> = 3, <math>(\sqrt {49-x^2} + \sqrt {25-x^2}) = \frac {24} {8} = \box{3}</math> | ||
== See Also == | == See Also == | ||
Revision as of 15:30, 8 February 2018
Suppose that real number 
satisfies ![\[\sqrt{49-x^2}-\sqrt{25-x^2}=3\]](http://latex.artofproblemsolving.com/6/0/2/60260471de484d4c7c3af264a757d4ff5de2ad3d.png)
. What is the value of 
?
Solution
Given that 
= 3, $(\sqrt {49-x^2} + \sqrt {25-x^2}) = \frac {24} {8} = \box{3}$ (Error compiling LaTeX. Unknown error_msg)
See Also
| 2018 AMC 10A (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AMC 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
