Question

If a square + 1 divided by a square is equals to 16 find the value of a 4 + 1 /a 4

Answer 1

Answer:

a^2 + 1/a^2 = 16

(a^ + 1/a^2)^2 = a^4+1/a^4+2 * a^2 * 1/a^2                 [a^2 + 1/a^2 = 16]

(16)^2    =   a^4 + 1/a^4 + 2

256 - 2  = a^4 + 1/a^4

254   = a^4 + 1/a^4