Question

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Answer 1

Answer:

E) a+1/a=5

s.o.b.s

(a+1/a)²=5²

a²+1/a²+2.a.1/a=25

a²+1/a²=25-2=23

F)a/b+b/a=2

squaring on both sides

a²/b²+b²/a²+2=4

a²/b²+b²/a²=2.

G)

if we add 1/2 to gvn eqn. we will get perfect square

a²+2.a.1+1/2+1/2=a²+2.a.1+1²=(a+1)².

H)1²+2.1.2/a+(2/a)²=(1+2/a)².

I)now take L.H.S

(2a+1/a)²=4a²+1/a²+2.2a.1/a

=4a²+1/a²+4

R.H.S,

(2a-1/a)²+8=4a²+1/a²-2.2a.1/a +8

=4a²+1/a²-4+8

=4a²+1/a²+4

so,L.H.S=R.H.S