Question

$if \: x + \frac{1}{x} = 5 \: then \: {x}^{2} + \frac{1}{ {x}^{2} } is \: .............plz \: full solution$
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Answer 1

Answer:

x^2+1/x^2=(x+1/x)^2-2=25-2=23

Answer 2

SOLUTION :-

$x + \frac{1}{x} = 5 \: \: (given)$

$on \: squaring \: both \: sides \\ {(1 + \frac{1}{x} )}^{2} = 25$

${ (\frac{1}{x}) }^{2} + {x}^{2} + x \times \frac{1}{x} × 2= 25$

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

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

$hope \: it \: will \: help \: you...$

THNKS!