Question

if A-1/A=3 then find a^2-1/a^2​

Answer 1

Answer:

The answer of the above question is so simple find the value of a that is -1/2 then put in further equation the answer will be -3

Answer 2

$\frac{a - 1}{a} = 3 \\ \\ a - 1 = 3a \\ 3a - a = - 1 \\ 2a = - 1 \\ a = \frac{ - 1}{2}$

$\frac{ {a}^{2} - 1}{ {a}^{2} } \\ \\ = \frac{ { (\frac{ - 1}{2} )}^{2} - 1}{ {( \frac{ - 1}{2} )}^{2} } \\ \\ = \frac{ \frac{1}{4} - 1}{ \frac{1}{4} } \\ \\ = \frac{ \frac{1 - 4}{ \not4} }{ \frac{1}{ \not4} } \\ \\ = \frac{ - 3}{1} \\ \\ = - 3$