If `alpha, beta` are the roots of the equation `px^2-qx + r=0`, then the cquation whose roots ...

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53.Let α and β be the roots of equation px 2 +qx+r=0, p=0. If p,q and r are in AP and α1​ + β1​ =4 53.Let α and β be the roots of equation px 2 +qx+r=0, p=0. If p,q and r are in AP and α1​ + β1​ =4
If `alpha/beta`and `beta/alpha` are the real roots of `px^2+qx+r=0` then (A) p=r (B) `q^2 = pq... If `alpha/beta`and `beta/alpha` are the real roots of `px^2+qx+r=0` then (A) p=r (B) `q^2 = pq...
If α and β are the roots of x² + px + q = 0 prove that α³+β³=3pq-p³. If α and β are the roots of x² + px + q = 0 prove that α³+β³=3pq-p³.
22.if α and β are roots of px2 + qx - r = 0, p ≠ 0, p, q and r are consecutive terms of a non-consta 22.if α and β are roots of px2 + qx - r = 0, p ≠ 0, p, q and r are consecutive terms of a non-consta
If α, β be the roots of x^2+px+1=0 and γ, δ be the roots of x^2+qx+1=0, then (α−γ)(β−γ)(α+δ)(β+δ)=? If α, β be the roots of x^2+px+1=0 and γ, δ be the roots of x^2+qx+1=0, then (α−γ)(β−γ)(α+δ)(β+δ)=?
If, α, β are the roots of the equation x^2 + px + q = 0, then -1/α, -1/β are the roots of the equati If, α, β are the roots of the equation x^2 + px + q = 0, then -1/α, -1/β are the roots of the equati
If α, β are roots of the equation px2 + qx – r = 0, then the value of &alp.... If α, β are roots of the equation px2 + qx – r = 0, then the value of &alp....
Let `alpha and beta` be the roots of equation `px^2 + qx + r = 0 , p != 0`.If `p,q,r` are in... Let `alpha and beta` be the roots of equation `px^2 + qx + r = 0 , p != 0`.If `p,q,r` are in...