Question

If a²+ 1/a² = 47, and a≠0, then find the value of a + 1/a

Answer 1

Step-by-step explanation:

$a + \frac{1}{a} = 7$

Answer 2

7

Step-by-step explanation:

a^2 + 1/a^2 = 47

a^2 + 1/a^2 + 2(a^2)(1/a^2) - 2(a^2)(1/a^2)

= 47

(a + 1/a)^2 = 47 + 2 = 49

(a + 1/a) = √49 = 7