Question

If
$\alpha \: and \: \beta$
are the roots of the equation
$x { }^{2} - 1 = 0 \: \\ then \: show \: that \\ \: \alpha + \beta = \frac{1}{ \alpha } + \frac{1}{ \beta }$
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Answer 1

Step-by-step explanation:

a+B = 1/a + 1/B [ * ]

: 1/a + 1/B = a + B ÷ a.B

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[ * ] : a + B = a + B ÷ a.B

: a+B-a-B = a.B

: a.B = 0