Difference between revisions of "1953 AHSME Problems/Problem 23"
(Created page with "The equation <math>\sqrt {x + 10} - \frac {6}{\sqrt {x + 10}} = 5</math> has: https://latex.artofproblemsolving.com/4/1/8/4187aeb2c71a4fedaeec246af6e6cc3cc2222ac6.png We mult...") |
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Revision as of 18:35, 30 April 2018
The equation has: https://latex.artofproblemsolving.com/4/1/8/4187aeb2c71a4fedaeec246af6e6cc3cc2222ac6.png
We multiply both sides by to get the equation . We square both sides to get , or . We can factor the quadratic as , giving us roots of and . We plug these values in to find that is an extraneous root and that is a true root, giving an answer of .