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Verified Answer :

Panoyin

\(\frac{1}{2} + \frac{4}{2x} = \frac{x + 4}{10}\)
\(\frac{x}{2x} + \frac{4}{2x} = \frac{x + 4}{10}\)
\(\frac{x + 4}{2x} = \frac{x + 4}{10}\)
\(10(x + 4) = 2x(x + 4)\)
\(10(x) + 10(4) = 2x(x) + 2x(4)\)
\(10x + 40 = 2x^{2} + 8x\)
\(40 = 2x^{2} - 2x\)
\(20 = x^{2} - x\)
\(0 = x^{2} - x - 20\)
\(0 = (x - 5)(x + 4)\)
\(0 = x - 5\ or\ 0 = x + 4\)
\(5 = x\ or\ -4 = x\)

Answer:

there are two solutions when adding your fraction- your two answers should be x=-4 and x=5, which is answer choice C for this problem! hope this helped you!

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