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

The sum of roots of the equation x^2−∣2x−3∣−4=0 is

The repeated root of the equation 4x^3 -12x^2 -15x -4=0 is

If 2 is a root of the equation x^4+2x^3-3x^2+kx-4=0 , then k=

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b=

If a, b are the roots of equation x^(2)-3x + p =0 and c, d are the roots of x^(2) - 12x + q = 0 and a, b, c, d are in G.P., then prove that : p : q =1 : 16

Let a and p be the roots of equation x^2 + x - 3 = 0 . Find the value of the expression 4p^2 - a^3 .

Let a, b be the roots of the equation x^(2) - 4 x +k_(1) = 0 and c , d the roots of the equation x^(2) - 36 x + k_(2) = 0 If a lt b lt c lt d and a, b,c,d are in G.P. then the product k_(1) k_(2) equals

If the roots of the equation 4x^3 -12x^2 +11x +k=0 are in arithmetic progression then k=