Question

If x2 +1/x2
= 6, find the value of x4 +1/x4
​

Answer 1

Answer :

$x {}^{2} + \frac{1}{x {}^{2} } = 6 \\ \\ \bf on \: squaring \: both \: sides : \\ \\ (x {}^{2} + \frac{1}{x {}^{2} } ) {}^{2} = (6) {}^{2} \\ \\ x {}^{4} + \frac{1}{x {}^{4} } + 2 = 36 \\ \\ x {}^{4} + \frac{1}{x {}^{4} } = 36 - 2 \\ \\ \red{\boxed{\bf x {}^{4} + \frac{1}{x {}^{4} } = 34}}$

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