1.

Ofx= 3+58 findfind the value ofx2xx2​

Answer»

GIVEN :-

X=3 + \sqrt{8}

What to FIND out = VALUE of (x {}^{2} + \frac{1}{ {x}^{2} })

SOLUTION :-

x {}^{2} + \frac{1}{ {x}^{2} } = (x + \frac{1}{x} ) {}^{2} - 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3 + \sqrt{8} + \frac{1}{3 + \sqrt{8} } ) {}^{2} - 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3 + \sqrt{8} + 3 - \sqrt{8} ) {}^{2} - 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (6) {}^{2} - 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 36 - 2 \\ \\ {x}^{2} + \frac{1}{x {}^{2} } = 34 \: \: \: \: \: \: \: \: ans


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