Solve for x

Follow the following steps to solve the question:

Write x² + 1/x² as (x +1/x)² - 2 and substitute in the equation

Then simlify the equation to get the following form:

2(x - 1/x)² - 9(x - 1/x) -4 =0

Solve this equation for (x - 1/x) assuming it as a single variable

Solve the equation obtained from solving the above equation to get the value of x.