If `a,b,c in R` and the equation `ax^2+bx+c = 0 and x^2+ x+ 1=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, show that a:b:c=1 : 2 : 9.

If the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 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

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+ax+bc=0" and " x^2-bx+ca=0 have a common root, then a+b+c =