Question

a+1/a=3 then a^6+1/a^6=_____?​

Answer 1

Answer:

A started a business with the amount of Rs 40000. After 5 months A withdraws Rs 20000

Answer 2

$\frac{a + 1}{a} = 3 \\ \\ a + 1 = 3a \\ 3a - a = 1 \\ 2a = 1 \\ a = \frac{1}{2}$

$\frac{ {a}^{6} + 1}{ {a}^{6} } \\ \\ = \frac{ { (\frac{1}{2}) }^{6} + 1}{ { (\frac{1}{2}) }^{6} } \\ \\ = \frac{ \frac{1}{64} + 1 }{ \frac{1}{64} } \\ \\ = \frac{ \frac{1 + 64}{ \not64} }{ \frac{1}{ \not64} } \\ \\ = \frac{65}{1} \\ = 65$