Question

a square + 1/a^ is equal to 23 find the value of a + 1 / a

Answer 1

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

Answer 2

Answer:

$\huge\mathcal{\purple{Given}}$

a²+$\frac{1}{a}^{2}$=23

So,

⇛(a+$\frac{1}{a}$)²=a²+$\frac{1}{a}^{2}$+2×a×$\frac{1}{a}$

⇛(a²+$\frac{1}{a}^{2}$)+2=23

⇛(a²+$\frac{1}{a}^{2}$)=23+2

⇛(a²+$\frac{1}{a}^{2}$)=25

⇛(a+$\frac{1}{a}$)²=25

⇛a+$\frac{1}{a}$=$\sqrt{25}$

⇛a+$\frac{1}{a}$=5

Hope it's helpful ✔️✔️