Question

please help me with this

Answer 1

Given,
A+1/a=2
To find,
1)(a⁴+1)/a²
=A⁴/a²+1/a²
=A²+1/a²
Since,
A²+b²=(a+B)²-2ab
:. Putting value
A²+1/a²=(a+1/a)²-2
A²+1/a²=2²-2
A²+1/a²=4-2
A²+1/a²=2
2)(a^8+1)/a⁴
=A^8/a⁴+1/a⁴
=A⁴+1/a⁴
=(A²)²+1/(a²)²
Since,
A²+b²=(a+1/a)²-2ab
:. Putting value
(A²)²+1/(a²)²=(a²+1/a²)²-2
A⁴+1/a⁴=2²-2
A⁴+1/a⁴=4-2
A⁴+1/a⁴=2
(ÆÑẞWĒRẞ)