Question

if a^2-2a+1=0 and anot equal to 0 find 1) a+1/a 2) a^2+1/a^2​

Answer 1

Answer:

we have

a²-2a+1=0

a²-a-a+1=0

a(a-1)-1(a-1)=0

(a-1)(a-1)=0

(a-1)²=0

a-1=0

a=1

1) a+1/a=1+1/1=1+1=2

2)a²+1/a²=(a+1/a)²-2

=(2)²-2

=4-2

=2