Let `x_1,x_2` be the roots of the equation `x^2-3x+A=0 and x_3,x_4` be those of equation `x^2-12x+B=0 and x_1,x_2,x_3,x_4` form an increasing G.P. find A and B.

If x_(1),x_(2) be the roots of the equation x^(2)-3x+A=0 and x_(3),x_(4) be those of the equation x^(2)-12x+B=0 and x_(1),x_(2),x_(3),x_(4) be an increasing GP.find find A and B.

The roots of the equation x^(4)-2x^(3)+x-380=0 are

A root of the equation 4x^(3)+2x^(2)-3x-1=0 is

x_(1),x_(2) are the x^(2)-3x+A=0;x_(3),x_(4) are roots of the equation x^(2)-12x+B=0 of the equation x_(1),x_(2),x_(3),x_(4) form in increasing GP. then

Find the roots common to the equations x^5-x^3+x^2-1=0 and x^4= 1 .

alpha and beta are the roots of the equation x^(2)-3x+a=0 and gamma and delta are the roots of the equation x^(2)-12x+b=0 .If alpha,beta,gamma, and delta form an increasing GP., then (a,b)-

suppose x1,x2 are the roots of the equation ax^2+bx+c=0 and x3 and x4 are the roots of the equation px^2+qx+r=0 If a, b, c are in G.P. as well as x_1, x_2, x_3, x_4 are in G.P., then p, q, r are in (i) A.P (ii)G.P (iii)H.P (iv)A.G.P

Let x_1, x_2, x_3 be the roots of equation x^3-x^2+beta x+gamma=0 . If , x_1,x_2,x_3 are in A.P. then