Question

If a^2+1/a^2 =10,then the value of a^4+1/a^4
is :-
(a) 90
(c) 100
(b) 98
(d) 102​

Answer 1

Answer:

10a^2+1

Step-by-step explanation:

a^2+1/a^2= 10

a^4+1/a^2=10

a^4=10a^2-1

Putting the value of a^4 , we get

10a^2-1+1/10a^2-1

=10a^2/10a^2-1

=10a^2/10a^2-10a^2/(-1)

=1+10a^2

=10a^2+1

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Answer 2

As given ⇒a2+a21=10

if we take the square root of both side then

⇒(a2+a21)2=(10)2

⇒a4+a41+2=100

⇒a4+a41=100−2

⇒a4+a41=98

so , 98 is the correct answer..

I hope it help you ................