Question

if a+1/a=6 and a is not=0 find a-1/a

Answer 1

Answer:

-4

Step-by-step explanation:

a+1/a = 6

a+1 = 6a

5a=1

a=1/5

a-1/a=1/5 - 1 /1/5

=-4/5*5

=-4

Answer 2

Step-by-step explanation:

$\frac{a + 1}{a} = 6 \\ a + 1 = 6a \\ 6a - a - 1 = 0 \\ 5a - 1 = 0 \\ a = \frac{1}{5} \\ \\ so \: \: \\ \frac{a - 1}{a} = \frac{ \frac{1}{5} - 1}{ \frac{1}{5} } \\ = \frac{ \frac{1 - 5}{5} }{ \frac{1}{5} } \\ = \frac{ \frac{ - 4}{5} }{ \frac{1}{5} } \\ = \frac{ - 4}{5} \times \frac{5}{1} \\ = \frac{ - 4}{1} \\ = - 4$