If a²-7a+1=0 then find the value …
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Posted by Shiv Pratap Gupta 3 years, 11 months ago
- 1 answers
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Gaurav Seth 3 years, 11 months ago
a² - 3a - 1 = 0
=> a² - 1 = 3a
From the given equation divide by a from both side.
a² - 1 = 3a
=> (a² - 1 ) / a = 3a / a
=> a - 1/a = 3
We know,
( a - 1/a)² = a² + 1/a² - 2 { where a ≠ 0}
=> (a - 1/a)² + 2 = a² + 1/a²
=> 3² + 2 = a² + 1/a² { since, (a - 1/a)² = 3) }
=> 9 + 2 = a² + 1/a²
=> 11 = a² + 1/a²
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