Question

if a-1/a=3 Find the value of a2-1/a2​

Answer 1

Answer:

Hi friends

Step-by-step explanation:

a-1/a=3

a-1=3a

a-3a=1

-2a=1

a=-1/2

{(-1/2)²-1}/-1/2²

(-3/4)/1/4

-3 is the value

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Answer 2

$\huge{\fbox\orange{\bf{Given :-}}} \\ a - \frac{1}{a} = 3 \\ \\ \huge{\fbox\orange{\bf{to \: find :-}}} \\ {a}^{2} - { (\frac{1}{a})}^{2} \\ \\ \huge{\fbox\orange{\bf{solution :-}}} \\ a - \frac{1}{a} = 3 \\ \\ ({a - \frac{1}{a}) }^{2} = {a}^{2} + { (\frac{1}{a}) }^{2} + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \red{ \mathtt{(substituting \: \: value \: \: of \: a - \frac{1}{a})}} \\ \\ 3 = {a}^{2} + { (\frac{1}{a}) }^{2} + 2 \\ \\ {a}^{2} + {( \frac{1}{a}) }^{2} = 3 - 2 \\ \\ {a}^{2} + {( \frac{1}{a}) }^{2} = 1$

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