Question

if a^2+1/a^2=11 , then what is the value of a-1/a.​

Answer 1

Answer:

√9=3

Step-by-step explanation:

a^2+2/a^2=11

adding 2 to a^2+1/a^2 gives us a^2+2+1/a^2which is the expanded form of (a+1/a) ^2

subtracting 2 from a^2+1/a^2 gives us a^2-2+1/a^2 which is expanded form of (a-b) ^2

thus subtracting 2 from both sides of the given statement,

a^2-2+1/a^2=11-2

(a -1/a) ^2=9

a-1/a=√9=3