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Question

Using componendo and dividendo, find the value of x
3x+4+3x53x+43x5=9

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Solution

3x+4+3x5+3x+43x5(3x+43x5)+(3x+4+3x5)=9+19123x+423x5=1083x+43x5=1006464(3x+4)=100(3x5)256=108x500756=108xx=7

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