Question

If a+1/a= m and a is not equal to 0; find in terms of m; the value of : 1) a-1/a 2)a^2-1/a^2

Answer 1

$1) \: {(a - \frac{1}{a} )}^{2} = {(a + \frac{1}{a} )}^{2} - 4 = {m}^{2} - 4 \\ a - \frac{1}{a} = \sqrt{ {m}^{2} - 4} \\ \\ 2) \: {a}^{2} - \frac{1}{ {a}^{2} } = (a + \frac{1}{a} )(a - \frac{1}{a} ) \\ = m \sqrt{ {m}^{2} - 4}$

Answer 2

Step-by-step explanation:

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