Question

pls solve this question

Answer 1

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• To find the value of :)

$ℚ. \: {x}^{2} + \frac{1}{ {x}^{2} } = \: ?$

$❑ If \: ( x + \frac{1}{x} ) \: = \: 5 \: (Gìven)$

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• Here :)

$➵ \: (x + \frac{1}{x} ) \: = \: 5$

On squaring both the sides :)

$➵ {x}^{2} + 2x \times \frac{1}{x} + \frac{1}{ {y}^{2} } = 25$

$➵ {x}^{2} + 2 \: + \: \frac{1}{ {y}^{2} } \: = \: 25$

$➵ {x}^{2} + \frac{1}{ {y}^{2} } = 25 \: - \: 2$

$➵ {x}^{2} + \frac{1}{ {y}^{2} } \: = \: 23$

• Hence the required answer is 23.

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