Math, asked by Arshaquemirash9039, 11 months ago

x=7+root40 find root x + 1/root x

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Answered by brunoconti
1

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Answered by Anonymous
1

✨✨✨ ANSWERS ✨✨✨

x = 7 +  \sqrt{48}   \\ \frac{1}{x} =  \frac{1}{7 +   \sqrt{48}  }  \\  \frac{1}{x}   =  \frac{7 -   \sqrt{48}  }{1}   = 7 -  \sqrt{40}  \\  \\(   \sqrt{x}  +  \frac{1}{ \sqrt{x} })  {}^{2} = x +  \frac{1}{x}  + 2 = 7 +  \sqrt{40}  +  \frac{7 -  \sqrt{40} }{1}  + 2 \\ ( \sqrt{x}  +  \frac{1}{ \sqrt{x} } ) =  \sqrt{16}  = 4

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