Question

if a square +1/a square =14 find value of a+1/a​

Answer 1

Answer:

a²+1/a²=14

=> a²+1/a²+2*a*1/a= 14+2*a*1/a (adding 2a*1/a both sides)

=> (a+1/a)²= 14+2

=> (a+1/a)²=16

=> a+1/a=√16

=> a+1/a=±4