If alpha is a real root of the quadrati...

If `alpha` is a real root of the quadratic equation `a x^2+b x+c=0a n dbeta` ils a real root of ` -a x^2+b x+c=0,` then show that there is a root `gamma` of equation `(a//2)x^2+b x+c=0` whilch lies between `alpha & beta`

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