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SSSSS [86.1K]
3 years ago
10

If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y, then x=?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0

y=\dfrac{1}{2}x+\dfrac{1}{2}\left(\dfrac{1}{2}x+\dfrac{1}{2}\left(\dfrac{1}{2}x+\ldots \Longleftrightarrow y=\dfrac{1}{2}x+\dfrac{1}{2}y


y=\dfrac{1}{2}x+\dfrac{1}{2}y\\\\
2y=x+y\\\\
\boxed{x=y}

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