Question

10x - 1/x = 3, x not equal to 0
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Answer 1

Answer:

10x-1/x=3

10x-1=3x

10x-3x=1

7x=1

x=1/7

Answer 2

$Given \: 10x - \frac{1}{x} = 3$

$\implies \frac{ 10x^{2} - 1}{x} = 3$

$\implies 10x^{2} - 1 = 3x$

$\implies 10x^{2} - 3x - 1 = 0$

/* Splitting the middle term,we get */

$\implies 10x^{2} - 5x + 2x - 1 = 0$

$\implies 5x( 2x - 1 ) + 1(2x -1 ) = 0$

$\implies (2x-1)(5x+1) = 0$

$\implies 2x-1 = 0 \: Or \: 5x+1= 0$

$\implies 2x = 1 \: Or \: 5x = -1$

$\implies x = \frac{1}{2} \: Or \: x = \frac{-1}{5}$

Therefore.,

$\green { x = \frac{1}{2} \: Or \: x = \frac{-1}{5}}$

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