Question

Is x2+1/x2 = 5 a polynomial?

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = 5 \\ multiply \: {x}^{2} \: to \: both \: side \\ we \: get \\ {x}^{4} + 1 = 5 {x}^{2} \\ {x}^{4} - 5 {x}^{2} + 1 = 0 \\ yes \: it \: is \: polynomial \: equation \: of \: \\ degree \: 4 \\ if \: you \: want \: its \: zeroes \: see \: below \\ {x}^{4} - 5 {x}^{2} + 1 = 0 \\ ( {x}^{2} ) {}^{2} + 2 \times {x}^{2} \times ( - \frac{5}{2} ) + 1= 0 \\ ({x}^{2} - \frac{5}{2} ) {}^{2}$