Question

a2+1/a2=7 find a+1/a;a-1/a

Answer 1

Answer:

a^2+1/a^2=7

a^2+1 = 7a^2

1 = 6a^2

a^2 = 1/6

a =$\sqrt{1/6$

(a+1)/a

a/a + 1/a

1 + (1/a)

1 + 1/$\sqrt{1/6$

(a-1)/a  = 1-1/$\sqrt{1/6$