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Factorisation by Common Factors

If a2 - 5a ...

Question

If $a^{2} - 5 a - 1 = 0$ , then find $a - \frac{1}{a}$

A

5

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B

10

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C

15

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D

20

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Solution

The correct option is A $5$
$a^{2} - 5 a - 1 = 0$
$=> a^{2} - 1 = 5 a$
$=> a - \frac{1}{a} = 5$

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