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Let alpha1,alpha2 and beta1, beta2 be th...

Let `alpha_1,alpha_2` and `beta_1, beta_2` be the roots of the equation `ax^2+bx+c=0` and `px^2+qx+r=0` respectively. If the system of equations `alpha_1y+alpha_2z=0` and `beta_1y+beta_2z=0` has a non trivial solution then prove that `b^2/q^2=(ac)/(pr)`

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