Question

if a + 1/a = 2, find a.

Plz answer fast. Kinda urgent.​

Answer 1

$a + \frac{1}{a} = 2 \\ {a}^{2} + 1 = 2a \\ {a}^{2} - 2a + 1 = 0 \\ {(a - 1)}^{2} = 0 \\ a - 1 = 0 \\ a = 1$

Answer 2

Answer:

a=1

Step-by-step explanation:

a2 +1/a = 2

a2+1 = 2a

a2-2a+1 =0

a2-a-a+1 = 0

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

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

a=1,1