Question

If a is not equal to 0 and a-1/a=3; find a²+1/a²​

Answer 1

Answer:

ans:5

Step-by-step explanation:

hope you understood it

Answer 2

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

$\frac{ { a}^{2} + 1}{ {a}^{2} } \\ \\ = \frac{ { (\frac{-1}{2} )}^{2} + 1 }{ {( \frac{-1}{2}) }^{2} } \\ \\ = \frac{ \frac{1}{4} + 1 }{ \frac{1}{4} } \\ \\ = \frac{ \frac{1 + 4}{4} }{ \frac{1}{4} } \\ \\ = \frac{ \frac{5}{ \not4} }{ \frac{1}{ \not4} } \\ \\ = \frac{5}{1} \\ \\ = 5$