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

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 `aa n dbetadot`

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The correct Answer is:

`=(-3)/(4)alpha^(2)beta^(2)lt 0`

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