Question: 3 It is given that alpha and beta are the roots of the equation y=x^(2)-x-1, where beta >alpha and that alpha + (1)/(alpha ) and

3 It is given that \alpha and \beta are the roots of the equation y=x^(2)-x-1, where \beta >\alpha and that \alpha + (1)/(\alpha ) and \beta +(1)/(\beta ) are the roots of another quadratic equation with integer coefficients. Without solving the values of \alpha and \beta , find the exact value of \alpha +(1)/(\alpha )

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