MathDB
2022 B Individual #15

Source:

April 30, 2022
2022 B Individual

Problem Statement

There exists a fraction xx that satisfies x2+5−x=13 \sqrt{x^2+5} - x = \tfrac{1}{3}. What is the sum of the numerator and denominator of this fraction?
<spanclass=′latex−bold′>(A)</span>8<spanclass=′latex−bold′>(B)</span>21<spanclass=′latex−bold′>(C)</span>25<spanclass=′latex−bold′>(D)</span>32<spanclass=′latex−bold′>(E)</span>34<span class='latex-bold'>(A) </span>8\qquad<span class='latex-bold'>(B) </span>21\qquad<span class='latex-bold'>(C) </span>25\qquad<span class='latex-bold'>(D) </span>32\qquad<span class='latex-bold'>(E) </span>34
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