Question

$if \: (x - \frac{1}{x} ) = 10 \: \: \\ then \: find \: the \: value \: of \: {x}^{2} + \frac{1}{ {x}^{2} }$
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Answer 1

Correct answer:-

Refer to the attachment.

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Answer 2

Answer:

102

Step-by-step explanation:

Given that x - 1/x = 10, we need to find x² + 1/x²

Used formu: (a - b)² = a² + b² - 2ab where a is x and b is 1/x.

→ (x - 1/x)² = x² + 1/x² - 2 × x × 1/x

→ (x - 1/x)² = x² + 1/x² - 2

Substitute the value of (x - 1/x) = 10 in above equation

→ (10)² = x² + 1/x² - 2

→ 100 = x² + 1/x² - 2

→ 100 + 2 = x² + 1/x²

→ 102 = x² + 1/x²

Hence, the value of x² + 1/x² is 102.