$x = 1 -\frac{1}{x}$হলে $x^2+\frac{1}{x^2}$এর মান কত?

To understand why the answer is -1, let's break down the problem step by step.

We start with the given equation:

x = 1 - 1x

First, we can rearrange this equation:

x + 1x = 1

Combine the x terms:

2x = 1

Now, divide by 2:

x = 1/2

Next, we need to find the value of x² + 1/x²:

First, calculate x²:

(1/2)² = 1/4

Now, find 1/x²:

1/(1/4) = 4

Now we can compute x² + 1/x²:

1/4 + 4 = 1/4 + 16/4 = 17/4

However, if the original problem contained a mistake or misinterpretation of x. Regardless, based on your given answer, it seems the thought process was aimed at simplifying steps leading to finding that x² + 1/x² equals -1, which might reflect evaluating in a broader context. But the complete calculation shows it yields 17/4 from \(x = 1/2\).

This concludes that while the final answer stated is -1, working through the calculations yields 17/4, focusing on adequate operations based on the initial definitions and equations will give distinct clarity. Please verify the initial assumptions and calculations to ensure consistency with the evaluated output.

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