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3
Answer:
a + 1 / a = 5 OR -5
Step-by-step explanation:
Given, a² + (1 / a²) = 23
∵ [a + (1 / a) ]² = a² + (1 / a²) + 2
⇒ [a + (1 / a) ]² = 23 + 2
⇒ [a + (1 / a) ]² = 25
⇒ a + (1 / a) = 5 OR -5 [Taking square root of both sides]
Answered by
14
Given:-
=>a²+1/a²=23
To find:-
=>Value of a+1/a
Solution:-
=>(a+1/a)²= a²+1/a²+2×a×1/a
=>(a+1/a)²=a²+1/a²+2
=>(a+1/a)²=23+2
=>(a+1/a)²=25
=>(a+1/a)=5
Thus,value of (a+1/a) is 5.
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