Question

solve using factorization method x+1/x=2⅙​

Answer 1

Answer:

$x + \frac{ 1}{x} = 2 \frac{1}{6} \\ \frac{{x}^{2} +1 }{x} = \frac{13}{6} \\ \\ {6x}^{2} + 6 = 13x \\ {6x}^{2} - 13x +6= 0 \:$

Answer 2

Step-by-step explanation:

$x + \frac{1}{x} = 2 \times \frac{1}{6} \\ x + \frac{1}{6} = \frac{13}{6} \\ 6(x + 1) = 78 \\ 6x + 6 = 78 \\ 6x = \frac{78}{6} \\ 6x = 13 \\ x = \frac{13}{6} \\ x = 2\times \frac{1}{6}$

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