If the equations `ax^(2)+bx+c=0` ,where `a,b,c in R`, `a!=0` and `x^(2)+2x+3=0` have a common root then `a : b :c` equals

If equations ax^(2)-bx+c=0 (where a,b,c epsilonR and a!=0 ) and x^(2)+2x+3=0 have a common root, then show that a:b:c=1:2:3

If the quadratic equations ax^(2)+bx+c=0(a,b,c epsilon R, a !=0) and x^(2)+4x+5=0 have a common root, then a,b,c must satisfy the relations

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 the equations ax^(2)+bx+C=0 and x^(2)+2x+4=0 have a common root then find a:b:c

If x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root,then a+b+c=1

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