Question

if a2 +1/a2 =47. find (i) a + 1/a (ii) a2 + 1/a2​

Answer 1

$a^{2} + \frac{1}{a^{2} } = 47$

$(a+\frac{1}{a} )^{2} = 49 = 7^{2}$

$a + \frac{1}{a} = 7$

Answer 2

given

a² + 1/a²=47

a² + 1/a² + 2 = 49

(a + 1/a)² = 7²

a + 1/a = 7