Question

if a²+1/a²=66 then find the value of a-1/a​

Answer 1

see the attached document

Answer 2

Answer:

± 8

Step-by-step explanation:

$a^{2} +(\frac{1}{a} )^{2}$ = 66

⇒ $(a-\frac{1}{a})^{2}$ + 2 = 66

⇒ $(a-\frac{1}{a})^{2}$ = 66 - 2

⇒ $(a-\frac{1}{a})^{2}$ = 64

⇒ $(a-\frac{1}{a})$ = ± $\sqrt{64}$

⇒ $(a-\frac{1}{a})$ = ± 8

Hope it helps!!!! :)