Question

If α, β are zeroes of the polynomial 2x2-4x+5 find the value of √(α-1 / α+1) + (β-1 / β+1)

Answer 1

First solve the equation
$\sqrt{ \frac{ \alpha - 1}{ \alpha + 1} + \frac{ \beta - 1}{ \beta + 1} }$
Then find the values of
$\alpha + \beta$
and
$\alpha \beta$
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