Question

if a+(1/a) = p and a-(1/a) =q , find the relation between p and q
remember the answer is p^2 -q^2 = 4​

Answer 1

Answer:

$a + \frac{1}{a} = p \\ a - \frac{1}{a} = q \\ then \\ \: \: \: \: \: {p}^{2} - {q}^{2} = ( {a + \frac{1}{a}) }^{2} - ({a - \frac{1}{a}) }^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (a + \frac{1}{a} + a - \frac{1}{a} )(a + \frac{1}{a} - a + \frac{1}{a} ) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2a \times \frac{2}{a} = 4 \\ anssssssssssssssss$

Step-by-step explanation:

please Mark as a result