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If alpha,beta,gamma are the roots of equ...

If `alpha,beta,gamma` are the roots of equation `x^3-px^2+qx-r=0` ,then the value of `1/alpha^2+1/beta^2+1/gamma^2` is

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`alpha+beta+gamma=p`
`alpha*beta +beta*gamma+gamma*alpha=q`
`alpha*beta*gamma=r` `1/alpha^2+1/beta^2+1/gamma^2= ((alpha*beta +beta*gamma+ gamma*alpha)^2-2*(alpha+beta+gamma)*(alpha*beta*gamma))/(alpha*beta*gamma)^2`
`= (q^2-2*p*r)/r^2`
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