If `alpha, beta` ar the roots of the quadratic equation `x ^(2) -(3+ 2 ^(sqrt(log _(2)3))-3 ^(sqrt(log _(3)2)))x-2 (3 ^(log _(3)2)-2^(log _(z)3))=0, ` then the value of `alpha ^(2) + alpha beta +beta^2` is equal to :

If alpha, beta ar the roots of the quadratic equation x ^(2) -(3+ 2 ^(sqrt(log _(2)3))-3 ^(sqrt(log _(3)2)))x-2 (3 ^(log _(3)2)-2^(log _(z)3))=0, then the value of alpha ^(2) + alpha beta is equal to :

If alpha,beta are the roots of the quadratic equation x^(2)-(3+2^(sqrt(log_(2)3))-3^(sqrt(log_(3)2)))x-2(3^(log_(3)2-2^(log_(2)3)))=0 then the value of alpha^(2)+alpha beta+beta^(2) is equal to

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

{:(Column -I,Column -II),((A)"if" 4^(x)-3^(x-(1)/(2))=3^(x+(1)/(2))-2^(2x-1)"then 2x equals",(P)1),((B)"The number of solutions of" log_(7)log_(5)(sqrt(x+5)+sqrt(x))=0 is,(Q)2),((C)"The number of values of x such that the middle term of",(R)3),(log_(2)2 log_(3)(2^(x)-5)log_(3)(2^(x)-(7)/(2))"is the average of the other two is",),((D)"if" alphabeta "are the roots of the equation",(S)4),(x^(2)-(3+2^(sqrt(log_(2)3)-3sqrt(log_(3)2)))x-2(3log_(3)^(2)-2^(log_(2)^(3)))=0,),("then" 2(alpha+beta)-alpha beta"equals",):}

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

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

If alpha and beta are the roots of quadratic equation x^2+5x-1=0 then, find alpha^3+beta^3

If alpha and beta are the roots of the quadratic equation x^2-3x-2=0 , then alpha/beta+beta/alpha=