Using quadratic equation: help me solve it 10x - (1)/(x ) = 3 ​

Question

Using quadratic equation:
help me solve it

`10x - (1)/(x ) = 3`
​

Answer 1

`10x - (1)/(x) = 3 \\ 10x = 3 + (1)/(x) \\ 10x = (3x + 1)/(x) \\ 10x * x = 3x + 1 \\ 10 {x}^(2) = 3x + 1 \\ 10 {x}^(2) - 3x - 1 = 0 \\ 10 {x}^(2) - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = ( - 1)/(5) \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = (1)/(2)`

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