If and , ( ) are the roots of the quadratic equation

MATHEMATICS · Subjective · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

If

\alpha + \frac{1}{\alpha}

and

2 - \beta - \frac{1}{\beta}

, (

\alpha, \beta > 0

) are the roots of the quadratic equation

x^2 - 2(a+1)x + a - 3 = 0

, then find the sum of integral values of

a

.

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