SavageSmartKid SavageSmartKid

02-09-2018
Mathematics

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

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konrad509 konrad509

02-09-2018

[tex] 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 [/tex]

[tex] y=\dfrac{1}{2}x+\dfrac{1}{2}y\\\\ 2y=x+y\\\\ \boxed{x=y} [/tex]

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