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

Suppose a, b , c in R . If the equations ax^(2) + bx + c = 0 and 4x^(2) + 4x + 5 . 52 = 0 have a common root, then (c)/(a) is equal to ______

If a, b, c are positive real numbers such that the equations ax^(2) + bx + c = 0 and bx^(2) + cx + a = 0 , have a common root, then

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

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

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 a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then