if a=5+2√6 find a²+1/a²
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Answered by
8
Given -
- a = 5 + 2√6
To Find -
the value of
- a² + 1 / a²
Now, according to given information -
( 5 + 2√6)² + 1 / ( 5 + 2√6)²
here we use the formula of
(a + b)² = a² + b² + 2ab
- (5)² + (2√6)² + 2 × 5 × 2√6 + 1 / (5)² + (2√6)² + 2 × 5 × 2√6
- 25 + 24 + 20√6 + 1 / 25 + 24 + 20√6
- 50 + 20√6 / 49 + 20√6
Value of a² + 1 / a² is -
50 + 20√6 / 49 + 20√6 .
mythiligopal77166:
it was very helpful
Answered by
1
here's your answer ...
By squaring both sides.
Therefore,
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