Question

if a+(1/a)+2=0,then the value of (a^37-1/a^100​

Answer 1

Answer:

-2

Step-by-step explanation:

$as \: a + \frac{1}{a} + 2 = \\ then \: a + \frac{1}{a} = - 2 \: \\ so \: the \: valu \: of \: a = - 1 \\ \\ now \: put \: the \: value \: in \: the \: eqs \\ \: {a}^{37} - \frac{1}{ {a}^{100} } = { - 1}^{37} - \frac{1}{ { - 1}^{100} } \\ = - 1 - \frac{1}{1} = - 2$