Question

if a - 1 / a is equal to 5 find the value of a^+1/a^

Answer 1

Given,
A-1/a=5
To find,
A²+1/a²
Since,
A²+b²=(a-b)²+2ab
:. putting value
A²+1/a²=(a-1/a)²+2
A²+1/a²=5²+2
A²+1/a²=25+2
A²+1/a²=27
(ÆÑẞWĒR)

Answer 2

$\huge\red{\ddot\smile}$Answer

$\huge\bold\red{Given:-}$

a+$\frac{1}{a}$=5

On Squaring both sides

(a+$\frac{1}{a}$)²=(5)²

a²+$\frac{1}{a}^{2}$-2×a×$\frac{1}{a}$=25

a²+$\frac{1}{a}^{2}$-2=25

a²+$\frac{1}{a}^{2}$=25+2

a²+$\frac{1}{a}^{2}$=27

Therefore,the value of a²+$\frac{1}{a}^{2}$=27

Hope it's helpful ✔️✔️