Question

a2+1/a2=7 find a+1/a

Answer 1

a² + 1/a² = 7

a² + 1/a² = (9 - 2)

a² + 1/a² + 2 = 9

a² + 1/a² + 2 a * 1/a = 3²

(a + 1/a)² = 3²

HENCE,

a + 1/a = 3

Answer 2

Your Answer :-

We know that ,

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

$\boxed{(a+\frac{1}{a})^{2}= 7 +2}$

$\boxed{(a+\frac{1}{a})^{2}=9}$

$\boxed { (a + \frac{1}{a}) = \sqrt{9} }$

$\boxed { (a + \frac{1}{a}) =3}$

Hence , 3 is the Answer .

^_^ ^_^

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