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Let alpha1,alpha2a n d\ beta1,beta2 b...

Let `alpha_1,alpha_2a n d\ beta_1,beta_2` be the roots of `a x^2+c=0\ a n d\ p x^2+q x+r=0` respectively. If the system of equations `alpha_1, y+alpha_2z=0\ a n d\ beta_1y+beta_2z=0` has anon-trivial solution, then prove that `(b^2)/(q^2)=(a c)/(p r)dot`

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