Question

x+1/x =11 halle x² +1/x²​

Answer 1

Respuesta:

${x}^{2} + \frac{1}{ {x}^{2} } = 119$

Explicación paso a paso:

${(x + \frac{1}{x} )}^{2} = {(11)}^{2} \\ {x}^{2} + 2(x) \frac{1}{x} + ( \frac{1}{ {x}^{2} } ) = 121 \\ {x}^{2} + 2 + ( \frac{1}{ {x}^{2} } ) = 121 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 119$