Question

x+1÷x=5 then x^2+1÷x^2 =​

Answer 1

$\star\:\:\:\sf\large\underline\blue{Answer:-}$

Given,

$\sf x + \frac{1}{x} = 5$

Squaring both sides, we get,

$\sf {(x + \frac{1}{x}) }^{2} = {5}^{2}$

$\sf \implies {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times \cancel{x} \times \frac{1}{ \cancel{x}} = 25$

$\sf \implies {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25$

$\sf \implies {x}^{2} + \frac{1}{ {x}^{2} } = 23$

Therefore,

$\boxed{ \sf {x}^{2} + \frac{1}{ {x}^{2} } = 23}$

Answer 2

Answer:

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