a ,b ,a n d c are all different and non...

`a ,b ,a n d` c are all different and non-zero real numbers on arithmetic progression. If the roots of quadratic equation `a x^2+b x+c=0 ` `a r e` `alpha` `a n d` `beta` such that `1/alpha+1/beta,alpha+beta,a n dalpha^2+beta^2` are in geometric progression the value of a/c will be_____.

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