Math, asked by ishuyadav2, 4 months ago

plz answer me...................​

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Answered by ashutoshanand4829
1

Answer:

the answer of this question is 28

Answered by Anonymous
5

\huge{ \:  \:  \red{given}</p><p>: }</p><p> \\  \\  \\  \large{x +  \frac{1}{x} } = 30 \\  \\ {\green{to \:  \: find : }</p><p>} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  {x}^{2}  +  \frac{1}{ {x}^{2} }  \\  \\ </p><p>\blue{solution : } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ x +  \frac{1}{x}  = 30 \\  \\ </p><p>\pink{squaring \:  \:  \: on \:  \:  \: both \:  \: side}</p><p> \\  \\ ( {x +  \frac{1}{x} })^{2}  =  {30}^{2}  \\  \\  {x}^{2}  + 2 \times x +  \frac{1}{x}  +  \frac{1}{ {x}^{2} }  = 900 \\  \\  {x}^{2}  + 2 +  \frac{1}{ {x}^{2} }  = 900 \\  \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 900 - 2 \\  \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 898 \\  \\ \pink{hence } \\  \\  \:  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 898

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