Question

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

Answer 1

Answer:

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

[Adding 2 on both sides]

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

${a}^{2} + \frac{1}{ {a}^{2} } + 2(a)( \frac{1}{a} ) = 25$

${a}^{2} + \frac{1}{ {a}^{2} } = {5}^{2}$

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