How do you solve $5 x - \frac{1}{x} = 4$ $5x-\frac{1}{x}=4$ ?

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Answer 1 · 2018-05-21T20:20:52

$x = - \frac{1}{5} or x = 1$ $x=-1/5 or x =1$

Multiply everything by $x$ $x$ to remove the fraction.

$5 x - \frac{1}{x} = 4$ $5x-1/x =4$ $\Rightarrow 5 x^{2} - 1 = 4 x$ $=>5x^2-1=4x$

$5 x^{2} - 4 x - 1 = 0$ $5x^2-4x-1=0$

$(5 x + 1) (x - 1) = 0$ $(5x+1)(x-1)=0$

$5 x + 1 = 0 or x - 1 = 0$ $5x+1=0 or x-1=0$

$x = - \frac{1}{5} or x = 1$ $x=-1/5 or x =1$

How do you solve 5x−1x=45x-\frac{1}{x}=4?