if a2+1÷a2=14,find the value of a3+1÷a3
Attachments:
Answers
Answered by
8
(a+1/a)^2=a^2+1/a^2+2a×1/a
=14+2
a+1/a=4
again
a^3+1/a^3=(a+1/a)(a^2+1/a^2-a×1/a)
=4(14)=56
is your answer
=14+2
a+1/a=4
again
a^3+1/a^3=(a+1/a)(a^2+1/a^2-a×1/a)
=4(14)=56
is your answer
dubi:
tysm soo much
plz mark as brainlist
okka
Answered by
0
a² + 1/a² = 14
adding 2 both sides
a² + 1/a² +2 =16
(a+1/a)²=16
a+1/a = 4
cubing both sides
(a+1/a)³=64
a³+1/a³+3(a+1/a)=64
a³+1/a+3×4=64
a³+1/a³+12=64
a³+1/a³=52
Similar questions