Difference between revisions of "1954 AHSME Problems/Problem 14"
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== Solution == | == Solution == | ||
<math>\sqrt{\frac{4x^4}{4x^4}+\frac{(x^4-1)^2}{4x^4}}\implies\sqrt{\frac{x^8-2x^4+1+4x^4}{4x^4}}\implies \sqrt{\frac{(x^4+1)^2}{(2x^2)^2}}\implies \frac{x^4+1}{2x^2}\implies\frac{x^2}{2}+\frac{1}{2x^2}</math>, <math>\fbox{E}</math> | <math>\sqrt{\frac{4x^4}{4x^4}+\frac{(x^4-1)^2}{4x^4}}\implies\sqrt{\frac{x^8-2x^4+1+4x^4}{4x^4}}\implies \sqrt{\frac{(x^4+1)^2}{(2x^2)^2}}\implies \frac{x^4+1}{2x^2}\implies\frac{x^2}{2}+\frac{1}{2x^2}</math>, <math>\fbox{E}</math> | ||
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+ | ==See Also== | ||
+ | |||
+ | {{AHSME 50p box|year=1954|num-b=13|num-a=15}} | ||
+ | |||
+ | {{MAA Notice}} |
Latest revision as of 00:26, 28 February 2020
Problem 14
When simplified equals:
Solution
,
See Also
1954 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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All AHSME Problems and Solutions |
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