Question

if a^4+1/a^4=119 then what is the value of a^2+1/a^2?

Answer 1

Answer:

Given a  

4

+  

a  

4

 

1

​

=119,

Adding 2 to both sides,

∴a  

4

+  

a  

4

 

1

​

+2=121

    (a  

2

+  

a  

2

 

1

​

)  

2

=121

i.e. a  

2

+  

a  

2

 

1

​

=11

Subtracting 2 to from sides,

Now, a  

2

−2+  

a  

2

 

1

​

=9

     (a−  

a

1

​

)  

2

=9

i.e. a−  

a

1

​

=3

Now, a  

3

−  

a  

3

 

1

​

=(a−  

a

1

​

)×(a  

2

+1+  

a  

2

 

1

​

)=3×12=36

Step-by-step explanation: