Question

the sum of a number and its reciprocal is 10/3 find the number​

Answer 1

Step-by-step explanation:

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Answer 2

$x + \frac{1}{x} = \frac{10}{3} \\ \frac{ {x}^{2} + 1}{x} = \frac{10}{3} \\ 3( {x}^{2} + 1) = 10x \\ 3 {x }^{2} + 3 = 10x \\ 3 {x}^{2} - 10x + 3 = 0 \\ 3x {}^{2} - 9x - x + 3 = 0 \\ 3x(x - 3) - 1(x - 3) = 0 \\ (3x - 1)(x - 3) = 0 \\ 3x - 1 = 0 || x - 3 = 0 \\ x = \frac{1}{3} ,3$