If `x^2 + mx + 1 = 0` and `(b-c)x^2 + (c-a)x + (a-b) =0` have both roots common, then

IF x^2 + a x + bc = 0 and x^2 + b x + c a = 0 have a common root , then a + b+ c=

if x^(2)+bx+c=0&2x^(2)+9x+10=0 have both roots common then find b&c

If a, b and c are in AP and if the equations (b-c)x^2 + (c -a)x+(a-b)=0 and 2 (c +a)x^2+(b +c)x+(a-b)=0 have a common root, then

If a_1x^2 + b_1 x + c_1 = 0 and a_2x^2 + b_2 x + c_2 = 0 has a common root, then the common root is

If ax^2 + 2bx + c = 0 and x^2 + 2b_(1)x + c_(1) = 0 have a common root and a/a_(1), b/b_(1),c/c_(1) are in show that a_(1), b_(1), c_(1) are in G.P.

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .

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

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

If the equations x^2 + 2x + 3 = 0 and ax^2 + bx + + c = 0 have common root, then a : b : c is _____

If x^(2) + ax + b = 0, x^(2) + bx + a = 0 ( a != 0 ) have a common root, then a + b =