Question

$x + \frac{1}{x} = 6 \: then \: {x}^{4} + \frac{1}{ {x}^{4} } =$
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Answer 1

Heya mate!!

$x + \frac{1}{x} = 6 \\( {x + \frac{1}{x} })^{2} = {6}^{2} \\ {x}^{2} + { \frac{1}{x} }^{2} + 2 = 36 \\ {x}^{2} + { \frac{1}{x} }^{2} = 34$

$({ {x}^{2} + { \frac{1}{x} }^{2} })^{2} = 34 \\ {x}^{4} + { \frac{1}{x} }^{4} + 2 = {34}^{2} \\ {x}^{4} + { \frac{1}{x} }^{4} = 1154$

Hope it helps u dear✌️✌️