If `x = 1` equal root of both the equation `x^2+ x + 4 = 0` and `bx^2 + bx + 3 = 0` then `ab=`

The common root of the equation x^(2) - bx + c = 0 and x^(2) + b x - a= 0 is ………..

x_1 and x_3 are the roots of the equation Ax ^2 - 4x +1=0 and x_2 and x_4 =0 are the roots of the requation Bx^2 - 6x + 1=0 if x_1 , x_2 , x_3 ,x_4 form a H.P , then (A,B) =

If the roots of the equation x^(3) + ax^(2) + bx + c = 0 are in A.P., 2a^(3) - 9ab =

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If both the roots of the equation x^(2) + bx + c = 0 lie in the interval (0,1) , then

Let both root of equation ax^2 - 2bx + 5 = 0 are alpha and root of equation x^2 - 2bx - 10 = 0 are alpha and beta . Find the value of alpha^2 + beta^ 2

Let both root of equation ax^2 - 2bx + 5 = 0 are alpha and root of equation x^2 - 2bx - 10 = 0 are alpha and beta . Find the value of alpha^2 + beta^ 2

If one of the common root of the quadracti equations x^2+bx+12=0 and x^2+bx+c=0 is 2, then find the vaue of c.

If the roots of the equation x^(2) + px + c =0 are 2,-2 and the roots of the equation x^(2) + bx + q=0 are -1,-2 , then the roots of the equation x^(2) + bx + c =0 are