If the quadratic equations `x^2+bx+ca=0 & x^2+cx+ab=0` (where `a!= 0`) have a common root. prove that the equation containing their other root is `x^2+ax+bc=0`

If the quadratic equations x^(2) +pqx +r=0 and z^(2) +prx +q=0 have a common root then the equation containing their other roots is/are

If the quadratic equations x^(2) +pqx +r=0 and z^(2) +prx +q=0 have a common root then the equation containing their other roots is/are

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

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

If the quadratic equations x^2+ax+b=0 and x^2+bx+a=0(aneb) have a common root , find the numerical value of (a+b).

If the quadratic equation x^(2) +ax +b =0 and x^(2) +bx +a =0 (a ne b) have a common root, the find the numeical value of a +b.

If x^2 + bx + ca =0 , x^2 + cx +ab =0 have a common root then their other are the roots of the equation

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 .