Difference between revisions of "2016 AMC 10B Problems/Problem 1"
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==Problem== | ==Problem== | ||
− | + | Wha . t is the value of <math>\frac{2a^{-1}+\frac{a^{-1}}{2}}{a}</math> when <math>a= \tfrac{1}{2}</math>? | |
<math>\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ \frac{5}{2}\qquad\textbf{(D)}\ 10\qquad\textbf{(E)}\ 20</math> | <math>\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ \frac{5}{2}\qquad\textbf{(D)}\ 10\qquad\textbf{(E)}\ 20</math> |
Revision as of 17:19, 17 January 2019
Problem
Wha . t is the value of when
?
Solution
Factorizing the numerator, then becomes
which is equal to
which is
.
See Also
2016 AMC 10B (Problems • Answer Key • Resources) | ||
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Followed by Problem 2 | |
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All AMC 10 Problems and Solutions |
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