Question

Find x2 +1/x2 If x -1/x = 10
plz answer fast

Answer 1

Answer:

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Answer 2

Answer:

x² + 1/x² = 98

Step-by-step explanation:

Given x - 1/x = 10

Now, (a+b)² = a² + b² + 2ab

So,

$(x - \frac{1}{x})^2 = x^2 + \frac{1}{x^2} - 2$

Substitute all values:

$(10)^2 = x^2 + \frac{1}{x^2} - 2$

$100 = x^2 + \frac{1}{x^2} - 2$

Thus, $x^2 + \frac{1}{x^2} = 100 - 2 = 98$