Let `alpha,beta in Rdot` If `alpha,beta^2` are the roots of quadratic equation `x^2-p x+1=0. a n dalpha^2,beta` are the roots of quadratic equation `x^2-q x+8=0,` then find `p ,q,alpha,betadot`

Let alpha, beta in R. If alpha, beta^(2) are the roots of quadratic equation x^(2) - px + 1 = 0 and alpha^(2), beta are the roots of quadratic equation x^(2) -px + 8 = 0 , then find p, q , alpha, beta .

If alpha,beta are the roots of the quadratic equation 4x^(2)-4x+1=0 then alpha^(3)+beta^(3)=

if alpha,beta roots of quadratic equation 2x^(2)+3x-4=0 then find alpha+beta

If alpha,beta, are the roots of quadratic equation 7x^(2)-13x-2=0 then find (alpha+beta)/(alpha beta)

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha^2 + beta^2

If alpha,beta are the roots of the equation x^(2)-p(x+1)-c=0, then (alpha+1)(beta+1)=

If alpha,beta are the roots of the equation x^(2)+px+q=0, then -(1)/(alpha),-(1)/(beta) are the roots of the equation.

If alpha, beta are roots of a quadratic equation such that alpha^2+beta^2=9 and alphabeta=8 , then the quadratic equation is?

If alpha " and " beta are the roots of the quadratic equation x^2 -5x +6 =0 then find alpha/beta + beta/alpha

If alpha and beta are the roots of a quadratic equation such that alpha+beta=2,alpha^(4)+beta^(4)=272, then the quadratic equation is