Question

.If a+1/a=6 and a≠0,find a-1/a​

Answer 1

Answer:

a-1/a=4

Step-by-step explanation:

a+1/a=6

•°• a+1=6a

ie., 1= 5a

a=1/5

so a-1/a=

= (1/5 -1) / (1/5)

= (4/5) / (1/5)

=4

Answer 2

Answer:

Step-by-step explanation:

a+

a

1

​

=6

Squaring both sides,

=(a+

a

1

​

)

2

=6

2

=a

2

+(

a

1

​

)

2

+2(a)(

a

1

​

)=36

=a

2

+

a

2

1

​

+2=36

=a

2

+

a

2

1

​

=34

Now,

(a−

a

1

​

)

2

=a

2

+

a

2

1

​

−2(a)(

a

1

​

)

=34−2

=32

=>a−

a

1

​

=±

32

​

=±4

2

​