a^2 +1/a^2=5 find the value.of a^3+1/a^3=?
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given:-
a2+1/a2=5
first apply
(a+1/a)2=a2+1/a2+2
(a+1/a)2=5+2
a+1/a=√7
now to find:-
a3+1/a3
(a+1/a)3=a3+1/a3+3(a+1/a)
(√7)3=a3+1/a3+3(√7)
7√7-3√7=a3+1/a3
4√7=a3+1/a3
given:-
a2+1/a2=5
first apply
(a+1/a)2=a2+1/a2+2
(a+1/a)2=5+2
a+1/a=√7
now to find:-
a3+1/a3
(a+1/a)3=a3+1/a3+3(a+1/a)
(√7)3=a3+1/a3+3(√7)
7√7-3√7=a3+1/a3
4√7=a3+1/a3
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