If a + 1/a = 11 , find the value of a2 + 1/a2
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Answer:
a²+(1/a²)=119
Step-by-step explanation:
Given that :-
a+(1/a)=11
On squaring both sides then
[a+(1/a)]²=11²
(since (a+b)²=a²+2ab+b²)
=>a²+2(a)(1/a)+(1/a)²=121
=>a²+2+(1/a²)=121
=>a²+(1/a²)=121-2
=>a²+(1/a²)=119
The value of a²+(1/a²)=119
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If a + 1/a = 11 , find the value of a2 + 1/a2
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