If a=3+√5/2,then find the value of a^2+1/a^2
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ANSWER:
Given:
- a = (3 + √5)/2
To Find:
- Value of a^2 + 1/a^2
Solution:
We are given that,
We need to find value of,
So,
Using, (a+b)^2 = a^2 + b^2 + 2ab,
So,
And,
Rationalising,
Using, (a+b)(a-b)=a^2-b^2,
So,
Now,
Using (1) & (2),
Cancelling 3√5,
Therefore,
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