Question

If a + 1/a =4 find the value of

(a) a^2+1/a^2
(b)a^4+ 1/a^4​

Answer 1

Answer:

14 194

Step-by-step explanation:

a + 1/a = 4

square on both sides then

a^2 + 1/a^2 +2 = 16

a^2 + 1/a^2 = 16 - 2

a^2 + 1/a^2 = 14 answer

again, square on both sides

a^4 + 1/a^4 + 2 = 196

a^4 + 1/a^4 = 196 - 2

a^4 + 1/a^4 = 194 answer