If $3x^2-4x-3=0$, then find the value of $x-\frac{1}{x}$.


Given: Equation:$3x^2-4x-3=0$

To do: To find the value  of $x-\frac{1}{x}$.

Solution:

$3x^2-4x-3=0$

$\Rightarrow 3x^2-3=4x$

$\Rightarrow 3( x^2-1)=4x$

$\Rightarrow 3x( x-\frac{1}{x})=4x$

$\Rightarrow x-\frac{1}{x}=\frac{4x}{3x}$

$\Rightarrow x-\frac{1}{x}=\frac{4}{3}$

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Updated on: 10-Oct-2022

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