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The four points A(alpha, 0), B(beta, 0),...

The four points `A(alpha, 0), B(beta, 0), C(gamma, 0)` and `D(delta, 0)` are such that `alpha, beta` are the roots of equation `ax^(2)+2hx + b=0 and gamma,delta`are root of equationax^(2)+2h'x + b'=0 . Show that the sum of the ratios in which C and D divide AB is zero, if `ab' + a' b = 2hh'`.

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2hh'
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