Math, asked by nitish9542, 1 year ago

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Answered by thevamp
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 {(x -  \frac{1}{x}) }^{2}  =  {x}^{2}  +  \frac{1}{ {x}^{2} }  - 2 \times x \times  \frac{1}{x}  \\  {7}^{2} =  {x}^{2}  +  \frac{1}{ {x}^{2} } - 2 \\ 49 + 2 =  {x}^{2}   +  \frac{1}{ {x}^{2} }  \\ 51 =  {x}^{2}  +  \frac{1}{ {x}^{2} }   \\  {( {x}^{2} +  \frac{1}{ {x}^{2} })  }^{2} =  {x}^{4}   +  \frac{1}{ {x}^{4} }  + 2 \times  {x}^{2} \times  \frac{1}{ {x}^{2} }  \\  {51}^{2}  =  {x}^{4}  +  \frac{1}{ {x}^{4} }  + 2 \\ 2601 - 2 =  {x}^{4}  +  \frac{1}{ {x}^{4} }   \\ 2599 =  {x}^{4}  +  \frac{1}{ {x}^{4} }  \\
therefore value of x4 plus 1 upon x4 is 2599
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