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If alpha,beta be the roots x^2+px-q=0 an...

If `alpha,beta` be the roots `x^2+px-q=0` and `gamma,delta` be the roots of `x^2+px+r=0, p+rphi0`,then `((alpha-gamma)(alpha-delta))/((beta-gamma)(beta-delta))` is equal to

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If alpha,beta are the roots x^2+px+q =0 and gamma,delta are the roots of x^2+rx+s =0, evaluate (alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta) in terms of p,q,r and s. Deduce the condition that the equation may have a common root.

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Let alpha,beta be the roots of the equation x^2-4x+A=0 and gamma,delta be the roots of the equation x^2-36x+B=0 . If alpha,beta,gamma and delta are In G.P. having positive common ratio, find the value of A and B.

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
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