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# Another question

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What is the positive solution to the equation x = 1/(2 + 1/(x - 3))?

Jan 20, 2023

#2
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$$x = {1\over2 + {1\over x - 3}}$$, multiply by (x - 3)/(x - 3)

$$x = {x - 3\over 2x - 6 + 1}$$

2x^2 - 5x = x - 3

2x^2 - 6x + 3 = 0