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If alpha,beta are the roots of x^2+p x+...

If `alpha,beta` are the roots of `x^2+p x+q=0a n dgamma,delta` are the roots of `x^2+r x+s=0,` evaluate `(alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta)` in terms of `p ,q ,r ,a n dsdot` Deduce the condition that the equation has a common root.

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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