Question

If a+1/a=4 then a^4+1/a^4=

Answer 1

Answer:

your answer is 194

Step-by-step explanation:

a+1/a=4

squaring both side

(a+1/a)²=4²

a²+1/a²+2 =16

a²+1/a²=14

Again squaring both side

(a²+1/a²)=(14)²

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

a^4+1/a^4=194

ok

Answer 2

Answer:

194

Step-by-step explanation:

*square on both sides

(a+1/a)^2= (4)^2

a^2+1/a^2+2×a×1/a=16

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

again square on both sides

then,(a^2+1/a^2)^2=(14)^2

a^4 + 1/a^4+ 2×a^2×1/a^2=196

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

a^4+1/a^4=194