Question

if a+1/a=2 find a-1/a​

Answer 1

Answer:

$a - \frac{1}{a} = 0.$

Step-by-step explanation:

$a + \frac{1}{a} = 2 \\ \\ {(a + \frac{1}{a} )}^{2} = 4 \\ \\ { a}^{2} + \frac{1}{ {a}^{2} } + 2 = 4 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } = 2 \\ \\ {a}^{2} + \frac{1}{ {a}^{2} } - 2 = 0 \\ \\ then \: \: \: \: {(a - \frac{1}{a}) }^{2} = 0 \\ \\ therefore \: \: \: \: a - \frac{1}{a} = 0.$