Question

If a²-3a + 1 =0.,
Find a² + 1/a2 and a3+1/a3​

Answer 1

Answer:

a

2

−3a−1=0

=>a

2

−1=3a

=>a−

a

1

=3

Squaring both sides,

=>(a−

a

1

)

2

=3

2

=>a

2

+

a

1

2

−2(a)(

a

1

)=9

=>a

2

+

a

1

2

=9+2

=11