If `x^2+a x+b=0a n dx^2+b x+c a=0(a!=b)` have a common root, then prove that their other roots satisfy the equation `x^2+c x+a b=0.`

If x^2+a x+bc=0 a n d x^2+b x+c a=0(a!=b) have a common root, then prove that their other roots satisfy the equation x^2+c x+a b=0.

If x^2+a x+bc=0 a n d x^2+b x+c a=0(a!=b) have a common root, then prove that their other roots satisfy the equation x^2+c x+a b=0.

If x^(2)+ax+b=0 and x^(2)+bx+ca=0(a!=b) have a common root,then prove that their other roots satisfy the equation x^(2)+cx+ab=0

If the equation x^2 + bx + ca = 0 and x^2 + cx + ab = 0 have a common root and b ne c , then prove that their roots will satisfy the equation x^2 + ax + bc = 0 .

If the equation x^(2)+ax+b=0 and x^(2)+bx+a=0 have a common root, then their other roots satisfy the equation

If the two equations x^2+ax+b=0 and x^2+bx+a=0 ( aneb ) have a common root, show that the other roots are the roots of the equation x^2+x+ab=0 .

If the equations x^(2)+abx+c=0 and x^(2)+acx+b=0 have a common root,then their other roots satisfy the equation

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