Question

a2 + 1/a2 =23 find the value of (a+1/a).

Answer 1

Hope that this answer will help you

Answer 2

Answer:

The value of $\bold{a+\frac{1}{a}}$ is 5.

Step-by-step explanation:

Given $a^{2}+\frac{1}{a^{2}}=23$

We know that by formula, $\bold{(a+b)^{2}=a^{2}+b^{2}+2 \times a \times b}$

Bring $a^{2}+\frac{1}{a^{2}}$ in the above format, hence the equation becomes,

$\begin{aligned}\left(a+\frac{1}{a}\right)^{2} &=a^{2}+\frac{1}{a^{2}}+2 \times a^{2} \times \frac{1}{a^{2}} \\\left(a+\frac{1}{a}\right)^{2} &=23+2 \end{aligned}$

Hence $\bold{\left(a+\frac{1}{a}\right)^{2}=25}$

Now by taking square root on both sides, the equation becomes,

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