if a=6-√35,find the value of a2+1/a2
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6^2 -35 = 1 so ans is 1+1=2
vishalsaini28feb:
wrong
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a = 6 - √35
1/a = 1/(6 - √35) [Rationalize 6 - √35]
= 6 + √35
∴ (a + 1/a)² = (6 - √35 + 6 + √35 )² ..........[ put values of a and 1/a]
- a² + 2*a*1/a + 1/a² = (12)² ......... [ use (a+b)² identity]
- a² + 1/a² = 144 - 2 .......... [Transpose 2]
- a² + 1/a² = 142
hence your answer is 142
Hope this helps :)
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