Math, asked by fatema1dia, 7 months ago

Please solve the following creative question (c) no.



plz answer me fast...............





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Answers

Answered by kanansaxena16
3

Answer:

Can you write it in English

Answered by sayanbhattacharjee34
2

Step-by-step explanation:

x -  \frac{1}{x}  =  \sqrt{3}  \\ \frac{ {x}^{2}  - 1}{x}  =  \sqrt{3}  \\  {x}^{2}  - 1 =  \sqrt{3}x  \\  {x}^{2}  -  \sqrt{3} x = 1.

x -  \frac{1}{x}  =  \sqrt{3}  \\ (x -  \frac{1}{x} ) {}^{2}  = 3 \\  {x}^{2}  +   \frac{1}{ {x}^{2} }    - 2 = 3 \\  {x}^{2}   +  \frac{1}{ {x}^{2} }  = 5 \\ ( {x}^{2}  +  \frac{1}{ {x}^{2} } ) {}^{2}  = 25 \\    {x}^{4}  +  \frac{1}{ {x}^{4} }  + 2 = 25 \\   {x}^{4}  +  \frac{1}{ {x}^{4} }  = 23 \\ ( {x}^{2}  +  \frac{1}{ {x}^{2} } )( {x}^{4}  +  \frac{1}{ {x}^{4} } ) = 23( {x}^{2}  +  \frac{1}{ {x}^{2} } ) \\ 5( {x}^{4}  +  \frac{1}{ {x}^{4} } ) = 23( {x}^{2}  +  \frac{1}{ {x}^{2} } )

 {x}^{2}  +  \frac{1}{ {x}^{2} }  = 5 \\ ( {x}^{2}  +   \frac{1}{ {x}^{2} } ) ^{3}  =  {5}^{3}  \\  {x}^{6}  +  \frac{1}{ {x}^{6} }  + 3. {x}^{2} . \frac{1}{ {x}^{2} } ( {x}^{2}  +  \frac{1}{ {x}^{2} } ) = 125 \\  {x}^{6}  +  \frac{1}{ {x}^{6} }  + 3 \times 5 = 125 \\  {x}^{6}  +  \frac{1}{ {x}^{6} }   = 125 - 15  \\  {x}^{6}  +  \frac{1}{ {x}^{6} }  = 110.

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