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If alpha,beta are roots of x^2+-p x+1=0a...

If `alpha,beta` are roots of `x^2+-p x+1=0a n dgamma,delta` are the roots of `x^2+q x+1=0` , then prove that `q^2-p^2=(alpha-gamma)(beta-gamma)(alpha+delta)(beta+delta)` .

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The correct Answer is:
`(q-s)^2-rpq-rsp+sp^(2)+qr^(2) `
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