If α and β are the roots of x²+px+q=0 and also of x^2n+p^n x^n+q^n =0, and if α/β , β/α are the ro

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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.
If `n` is an even number and `alpha, beta` are the roots of equation `x^2+px+q=0` and also of If `n` is an even number and `alpha, beta` are the roots of equation `x^2+px+q=0` and also of
If α, β are Roots of x²+px+q=0, find the value of 1/ α^2β +1/αβ^2? If α, β are Roots of x²+px+q=0, find the value of 1/ α^2β +1/αβ^2?
If \[\alpha \] and \[\beta \] are the roots equation \[{x^2} + px + 2 = 0\] and \[\frac{1}{\alpha } If \[\alpha \] and \[\beta \] are the roots equation \[{x^2} + px + 2 = 0\] and \[\frac{1}{\alpha }
If alpha beta are the roots of the x^2-px + q=0 find the value of (alpha - p)^2+(beta - p)^2 . If alpha beta are the roots of the x^2-px + q=0 find the value of (alpha - p)^2+(beta - p)^2 .
Let p,q be integer and alpha,beta be roots of the equation,x^2-x-1=0.For n=0,1,2,3..let an=p@^n+qb^n Let p,q be integer and alpha,beta be roots of the equation,x^2-x-1=0.For n=0,1,2,3..let an=p@^n+qb^n
If p and q are the roots of x^2+px+q=0 then If p and q are the roots of x^2+px+q=0 then
α, β be roots of equation px^2+qx+r=0, where p≠0. If p, q, r are in A.P. and 1/α+1/β=4, find |α-β|. α, β be roots of equation px^2+qx+r=0, where p≠0. If p, q, r are in A.P. and 1/α+1/β=4, find |α-β|.