Question

x/2= 1/2x+1 find the value of x³-1/x³​

Answer 1

Step-by-step explanation:

$\huge \bf solution \\ \:\begin{gathered} \bf\frac{x}{2} = \frac{1} {2x} + 1 \\ \bf = \frac{x}{2} - \frac{1}{2x} = 1 \\ \bf = \frac{ {x}^{2} - 1}{2x} = 1 \\ \bf = \frac{ {x}^{2} - 1}{x} = 2 \\ \bf = x - \frac{1}{x} = 2\end{gathered}$

$\huge \bf now \: \\ \begin{gathered} \bf{(x - \frac{1}{x} )}^{3} = 8 \\ \bf = \: {x}^{3} - \frac{1}{ {x}^{3} } - 3(x - \frac{1}{x} ) = 8 \\ \bf = {x}^{3} - \frac{1}{ {x}^{3} } - 3 \times 2 = 8 \\ \bf = {x}^{3} - \frac{1}{ {x}^{3} } = 8 + 6 = 14\end{gathered}$

Thanks for marking brainliest

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